dynamic punch vs close combat

DPS for charge moves is almost meaningless, since it only considers the speed of the move itself, when the time it takes to build up enough energy for the move is what matters. DP is a 2 bar charge move, so you can use it twice as much, and it deals 90 base damage - only 10 less than CC.

It takes you the same amount of time to charge up for either move, after which, you can do one round of 100 damage in 2.3 seconds, or two rounds of 90 damage in 2.7 seconds each. The C/CC machamp will get a 3.1 second head start on building up a second charge, but that's not quite enough to catch up, and how many charge moves are you going to get in before your machamp faints?

because you can use it more often and hits hard too

DPE (damage per energy) is your best friend here.

Damage Per Energy is typically the most important consideration for charged moves, whereas DPS / EPS are the main considerations for quick moves; however, you also want to pay close attention to the respective cooldowns of the charge moves when comparing the DPE.

check out the Outrage vs. Hurricane thread for a similar discussion. Outrage has a DPE of 2.2 whereas Hurricane has a DPE of 1.1 -- but Outrage isn't anywhere close to twice as good because you spend far longer in cooldowns during every Damage cycle. Granted, Outrage is still the better charge move -- but this is only meant to illustrate that DPE isn't the whole magilla, as they say.

Direct side-by-side comparison in the real game, as opposed to all the theory: https://www.youtube.com/watch?v=OFkcX3Up1XE

DP is better, but not by much.