I've never read that about proper fertilizing once BAP is applied, but I would assume since the plant is being forced to grow and multiply it would certainly need proper nutrition to help keep it healthy. On the few plants I've used it on I just keep with my normal fertilizing program and use what I normally fertilize with on a regular basis (every couple of weeks), Miracle-Gro all purpose water soluable fertilzer (the one with the 24-8-16 ratio). Do you have the liquid or paste BAP?
One thing to remember with BAP is that it doesn't work on all daylilies, some will not increase or grow prolifs no matter how many times you BAP it.