Here's my $0.02. TLDR crowd just skip to the bottom.
Non-reciprocating
Proshandle doesn't move
Don't have to worry about getting "bit" (more on this at the bottom)
Removing bolt from rifle requires no additional steps
Usually the non-recips cover the cutout, so gas is somewhat more contained
Can use standard AR15 BCG (usually)
ConsCost to make
More complex
Proprietary CH/port cover design (I.E. don't break it)
Reciprocating
ProsSimple and cheap
CH can act as forward assist (though I'd just rack and get a fresh round if the first failed to chamber)
ConsYou can get "bit" by it moving or it can poke you in the chest
likely leaves an open hole in the side of the receiver where dirt/dust and gas can get in/escape
Removing the bolt requires you to remove the CH from the bolt first, as such it's one more thing to lose and without it your rifle is useless
Uses modified BCG (basically drilled and tapped for the CH to thread into)
As far as getting "bit" is concerned, frankly on an AR it's a non-issue. Every side reciprocating AR upper I've seen has the handle on the upper receiver itself. IDK about you guys but I don't have my off hand anywhere near that when shooting so there's no chance of getting "bit". If it were up on the hand guard or forwards of the upper receiver you'd have a valid argument (been bit by a SCAR-H once, it's not fun).
As far as it "poking" you in the chest, I'm not in the habit of forcibly slamming the side of my rifle into my body repeatedly. Even if you fall on it it's probably gonna hit a squishy part first, so again it's a non-issue. I've not got the largest chesticles out there, but I know the SCAR-H CH doesn't even touch my sternum. An AK's CH however is quite pokey and not fun to have rammed into your sternum.
TLDR crowdSo in short to re-cap....getting "bit" with a reciprocating CH that's on an AR upper receiver isn't gonna happen unless you deliberately put your hand by the barrel nut area (so if you magwell grip it might happen...but you should stop mag well gripping anyways.). There are other disadvantages to a reciprocating CH that are IMHO a bigger reason to go with a non-reciprocating if your funds allow for it.