Yes. Pucks are NOT a permanent chlorination solution, despite installations of in-line chlorinators. They will ALWAYS add lots of stabilizer (I think Chem_Geek computes that for each 1ppm of FC they add .6ppm of CYA). They will ALWAYS add lots of acid, driving your pH down.

Bleach adds NOTHING and is pH-neutral. Pool store guys will tell you "Liquid Chlorine raises your TDS and that's really bad." Nonsense. Bleach adds saltwater to your pool, and after YEARS of using it your salt level will STILL be far, FAR below what is required for a salt-water chlorinator.

BTW, TDS (total dissolved solids) should ONLY be a concern when you have a water problem AND you have exhausted all the usually solutions. That almost never happens here.