That's a different question. My answer would be "yes".

All chlorination chems ultimately add chlorine and it doesn't matter the source.

HOWEVER, each chem has other effects: Tri-Chlor tablets lower pH and add lots of stabilizer.
Di-Chlor powder lowers pH too, but not nearly as much. It also add stabilizer--a lot but not as much as Tri-Chlor.
Cal-Hypo adds calcium and tends to raise pH.
Lithium and potassium chlorites empty your wallet INCREDIBLY quickly.
Only bleach/Liquid chlorine has almost no side effects.