Well I'm thinking that by using Prime, it'll detoxify the ammonia for a day so then your bacteria can convert it to
nitrite then
nitrate. So I think that if you have to deal with the ammonia from the tap, you'd have to build up your bacteria to handle the added ammonia. So, this is just my thinking and I'm probably wrong about it, but if you increase the frequency of your water changes, the added ammonia will be there and the extra bacteria won't die back with the lack of ammonia. Did that make sense? Basically, if you want to avoid mini cycles every time you do a water change, you need extra bacteria, and to keep that bacteria from building up and dying back all the time, you can increase the frequency of your water changes to maybe every 3-4 days.
Someone can correct me if my idea is just crazy but I think that would be a good way to deal with it.