No, the protests won't stop, if anything they might become stronger.
The people didn't hate Bouteflika that much as everyone knows he's been a "living corpse" for the last 6-7 years and shouldn't have been a candidate back in 2014. I mean the guy took back his candidacy and his functions as president would've ended on April 28th anyway

If anything, some of his "clan" such as his brother Said or former prime minister Ahmed Ouyahia are much more hated than he ever was.
Ironically, I kinda believe the "regime" would've been fine had they groomed a successor for Bouteflika rather than pushing for a 5th term when it was obvious he was in no state of doing so.