I am unclear what you mean:
If you're saying that you got a new PR, then took 2-3 days off and tried to max and failed, it doesn't mean you lost that strength in 2-3 days. The 2-3 days had nothing to do with it, maybe you didn't warm up as well or you tried again too soon.
Second, if you mean you're going to do a month of strength training (like Strength-Focused Mesocycle) and THEN do the 6-week ABBH program, that sounds good.
If you mean you're going to do a "strength workout" then do the ABBH workout on the same day, it sounds like a bad idea.
Hope I've been clear