I still disagree that TSS is killed by Prime or any other dechlor that binds ammonia. The bacteria you cultivate through other means the live in the tank is not killed by Prime, why would the TSS bacteria be? Bacteria can consume ammonia (toxic) and ammonium (non-toxic).
I'd love to have a Tetra and Seachem rep together explain why their products are incompatable. Seachem sells their own 'bacteria in a bottle' calle Stability, so I am not convinced.
Something that LOCKS ammonia I can see causing problems (whether TSS, Stability, or any other method of cultivating the good bacteria), but detoxifying ammonia is not the same as LOCKING it up.