I use a Brewzilla 3.1.1 and throw my hops in commando, don't have too much problem with blocking the pump. If it does block, simply put some air pressure backwards through the pump and it will clear easily. DO remember, however, to always pull the recirc tube up out of your wort prior to turning off the pump because it will siphon back down through the pump if you don't, and if it happens to be laying in grain, you will suck a bunch of grain into the pump, and then you have an issue.....
The false bottom does a much better job than I expected at stopping all the gunk from getting into the pump and your fermenter. To aid this, I remove my chiller after cooling and whirlpool for 10 minutes(using the whirlpool arm), then turn the pump off and allow it to settle for 5 minutes prior to pumping into the fermenter. I always get a nice hop cone on the false bottom and VERY little gunk in my fermenter (maybe an 1/8" in the bottom once it settles)
YMMV
Lon