I have a Sequence Hammerhead, and I can tell you that I have pods that have made the trip upstairs from my basement fuge. Off the return I have a skimmer, a 57w uv sterilizer, a carbon filter, a phosphate reactor, and pods have made it from fuge to display around all that stuff.
Lots of them.
How do I know? I added a bottle of "Tigger pods" to my fuge. I had zero of the species in those bottles in my system. Zero visible anyway. I have thousands upon thousands now in my fuge, sump, frag tank and display. All initially introduced into that fuge.
Pumps likely not going to bother them.
Plus, mandarins gobble up dead pods like no tomorrow.