3 man; deep tip in BC

[CK]

If the ball is tipped deep into the BC, shouldn't the U stay put and take the position of T with the 10 second count. The R would slide into the C and the L would rotate ball side. This is the way I have always handeled this. Recently I was asked if maybe I should rethink this mechanic to let the R go back and handle the T position. (This is not a when in Rome case, it was simply a question posed to me by someone I respect.) The latter seems so awkward. The way I have been doing it seems very smooth and seamless. I can't seem to find anything in the manuals that supports the latter view. Opinions please. Thanks for your help.

CK