I don't know about other products, but the 'binding ability' of Seachem's Prime does not stop or harm the beneficial bacteria in the tank, whether there 'naturally' or put there by the 'bacteria in a bottle' products. The ammonia is still there and able to be consumed by the bacteria in the non-toxic form.
If someone from Tetra did say...:
"In regards to ammonia products, yes, they kill TSS. Any type, whether a chloramines remover or detoxifier, etc, anything that says it locks up ammonia or removes ammonia. Do not add TSS for 24 hours after using such a product, and do not add such a product for at least 7 days after using TSS. The bacteria is housed in a special stabilized solution of ammonia, so if you remove/lock up the ammonia, you remove all of the food the bacteria require to live."
...I would love to see the research on that. Since the ammonia is not 'removed' it is still able to be consumed. Some products adsorb ammonia, which IS removing ammonia from the water column, but a good dechlor does not.