Most likely your strength in the bench and squat will maintain or go back, yes. Short term you might peak your strength, as the reduced fatigue from training heavy less often will allow you to be more recovered each session and thus able to increase the weight (in the short term).
Long term though, you absolutely must increase the volume (meaning total weight lifted over a time period) to get bigger and stronger. Being fresh every workout has no special benefit aside from peaking short term strength. I think a lot of people stops progressing because they are afraid of becoming weaker in periods as an effect of more training.
What does this mean? Matt Ogus, Eric Helms, and Alberto Nunez have all used powerlifting programs for the progression on the big lifts. On top of that they do a lot of BB lifts. Just like that almost all powerlifters do a ton of hypertrophy work with typical bodybuilding lifts.
Edited: misread a post.