Did that this weekend, hot tub 106 f to pool 58 f, 2 cycles.. felt greatI have had good results with contrast showers. However... I believe that full immersion or dousing might be better.
I am fortunate enough to have a hot tub beside a swimming pool. In summer it's not much use, but in winter that's a different story. The pool gets pretty cold, and it's quite invigorating cycling between the two.