Wrong. The "big crunch" is max entropy as at that point, everything has collapsed gravitationally to maximum mixture. At the "big bang", gravitational clumping is minimal, so entropy is very low.
you may be confusing "crunch" with the "heat death" hyothesis where everything gets converted into entropic so-called "heat" energy which just keeps expanding into an empty infinity
"Heat death" means that the universe ages without crunching. Entropy increases constantly until every cm³ of space is just a uniform warm bath of heat and no useful work can be done anymore (this happens after the last black hole has evaporated and possibly the last proton has decayed and/or rest mass has gone to zero for some reason or other). Ultimately, you just have very-low energy photons, and the universe continues to cool off as it expands (OTOH, there would be nothing left to even build a clock with, so is there actually TIME at that point?)