This morning I went out and found the orchids in bloom again. This time there were a total of 18 blooms, including the plants I recently dug up and potted, and one of the small shoots from the tubers I had potted last year at only ~1½" tall!
Because the plants in the pots are well away from those in the ground, I doubt this was a case of "synchronous blooming". I more suspect it is the result of the rainstorm we had last night, as in the manner of rain lilies. This was the first real rain we have had for several days.
I did get a couple good photos I'll upload later.