If you are doing a fishless in the 25 gal, go ahead and put the proper sized filter on it. It may slow down the process because you've removed the bacteria that was present on the mini but there should be some on the substrate that will help the new filter to colonize. The mini that you swich over to the 20 gal should give that tank a little jump start in its fishless cycle as well as long as you don't let it dry out or add it to untreated water. If the 20 isn't ready yet just run both of your filters in the 25 till it is.
ALASKA