Thanks very much for your thoughts and recommendations, Ken.
At one time (come to think on it, over 16 years ago, now) I used to grow seedlings in the small 4" pots, at least until first bloom, so tree pots were a step up for me. Since I mostly (not entirely) am trying to hybridize for polymerous daylilies, at that time that small 4" pots allowed me to maximize the number of seedlings I could grow per square foot, while still being able to tell if the seedling was poly (to any degree) or not. (My feeling is that if a plant is going to poly to any significant degree, it is going to do so regardless of how much soil it is living in. I could be wrong, though.)
The first tree pot that I used was actually one with the same 4" diameter as the TP-49, but much taller. (I don't recall the number and may not have bought it from Stuewe.) I didn't like the taller tree pots; they were very unstable and needed crates to hold them up, and having tried the crates, I didn't like them, either.
I decided to try the TP-49 as a compromise, and actually bought several of TRAY6 (6" deep tray, 15.75" square) to hold them, but I didn't like that setup much better than I did the crate. Both the trays and the crates are unsightly in the garden, you have to place them where they can drain directly on dirt (so you can't put them on the patio or any other hardscape), and also I really prefer to have something with a "drip tray" function to hold my daylily pots. (I feel, rightly or wrongly, that the potted daylily will soak up whatever drippings are there; also the use of drip trays or saucers allows you to place the plants on hardscape.)
I tried putting the TP-49 pots into one of those under-the-bed clothes storage plastic containers, and that worked, sort of, for a season or two; I could fit 20 of the TP-49s into one of those. (Again, I was trying to maximize the density. This was before we built my seedling bed(s).) Unfortunately, those plastic containers were not designed for outdoor conditions (primarily UV light), so they got brittle and fell apart.
What I am doing this season (for those seedlings not in the beds) is using large plastic rectangular flower boxes to hold either the TP-49s or the potted up (for another look) #2 pot seedlings. (These flower boxes are on my patio, so they have to look good, too. The tops of both the TP-49 pots and the #2 pots are even with or below the top of the patio box, so the box hides them nicely.) I can fit 10 of the TP-49s or 3 of the #2 containers into a flower box, and the box supports the TP-49s fine, as long as all 10 pots are in there. The boxes come with areas where you can punch out holes (and you can buy drainage trays), but I have left the holes intact and just put some gravel in the bottom of the boxes for drainage. (Of course, this means that during the rainy season you have to get out there and tip the boxes to get all of the excess water out!)
Now, whether or not a seedling can "be all that it can be" in those pots is another question, and I am glad to have your input on that. I think that if the seedling is going to poly to any degree, it will show it in those TP-49 pots, but I was skeptical about the bloom size, bud count, branching, and rebloom. This season I have had 2 seedlings in the TP-49 present their flowers as mini blooms, when I would not have predicted such. I have, however, had at least two seedlings rebloom in those TP-49 pots, so it is possible; whether every seedling capable of rebloom will do so in those pots is another question. It is also unclear (given our cooler nights and the cool weather at the beginning of the season) how - or if - being in the smaller pots affects the bloom's ability to open. (I have seen some opening problems during the warmer peak season, so I don't know if the problem was inherent to those particular seedlings or an artifact of the pot.) I have also found it harder to weed and fertilize those tree pots, than the larger cross-section #2 pots.
At any rate, I will give your suggestions for better seedling containers consideration. I do have to fit them into something, even the round pot, both to corral them and also to prettify the seedling ghetto. (The cosmetic function is necessary, as the part of my garden with the maximum sunlight happens to be my patio and the landscaped area around it, so good looks are important.) I have no doubt that even with my few seedling beds, I will still be growing some seedlings in containers, even before selection.
(I am not only doing polys... that has mostly been a challenge, and I have found that I really need the positive reward of the small successes that come from making other crosses, to keep me going.)
Regarding prizing the scaped seedling out of the pot... it is good to know that if one of the scapes breaks, the seeds may still be recoverable. Thanks for that tip! However, while I can try your stomping-on-the-soaked pot trick with the non-scaped seedlings, I think that I am going to resort to the wire cutters for the pot with the scapes (4 of them in that TP-49!). My big concern is that I am going to end up snapping a pod or two off in the process (not just merely breaking a scape), no matter how careful I am; I am hoping that cutting the pot will minimize the chances of that happening. (Maybe I should also tie all the scapes together for this procedure, and wrap a scarf or something around the pods to protect them...)
At any rate I may not get to this operation for a couple of days... there are (way too many other) things to do, places to go, and my knee and shoulder have been complaining about the gardening lately.