Is there a correlation between pot size and Sempervivum size regarding the large cultivars?

I see that for some reason none of the large cultivars are large in my 3.5inch by 3.5inch pots, while some like Erwin say small
pots allow for better leaf growth instead of massive growth of the roots.
Also what I have noticed that with these 3.5inch by 3.5inch pots as soon as there is massive amount of chicks the hen gets smaller
and small to the point it is 3 times smaller than when it started to produce tiny chicks.
I am not sure why exactly this is happening because the chicks don't have where to expand or the hen needs much bigger pot, like
3 times bigger to support that large amount of chicks. What I have noticed is that using some 3-3-3 fertilizer does not really
help with this, if I use it weekly I can see deformed growth to the point the plant is completely messes up the hen on certain hybrids/cultivars.

Maybe I was used to seeing plants like some Echeveria, where for example I had a 8inch plant that was in a 2inch round diameter 2inch tall pot.
And I have seen even abandoned Echeveria in nurseries where it was just a huge discrepancy between the plant size and pot.
So I am not sure, Erwin says small pots result in big plants due to smaller roots, while in my experience this does not seem to
really do much and also looking at Melissa's Sempervivum they are all in larger pots and they are quite big.
For example in my 3.5*3.5 pots most plants are the size of the pot itself.
Or maybe diffuse lighting matters a lot more than I would think? As in the way they are grown in nurseries that are not in direct
full sun but rather behind some cover foil/net. I do see my Sempervivum that are in full sun having shorter and broader leaves
with shorter tapers, probably due to many hours in full sun in the summer.

I find that with most of the semps full sun brings out the best leaf shape and coloring. You can get larger semps by fertilizing, but I have found that if they are healthy adult rosettes they don't need the fertilizer to gain in size.
In my experience they do need room to grow. If I plant a semp in one of the holes in the cinder blocks they will not gain full size, but still look healthy and show good color.
Some of my biggest rosettes (12" or more) had huge root systems. Then again, I have had very large rosettes that had much smaller root systems, and medium size semps with huge root systems. All growing in full sun, sandy loam soil with lots of room to grow.

Yes, quite a variety of differences.

Alright time to improve pot size and see what happens with various cultivars. Well it's really not the time now...

It won't be long before spring will return and your experiment can begin. I look forward to see the results Paleo.