Right. I've had an easier time with solid into the screw-terminals as used on the AC-to-DC converter and timer module.
Not sure what to make of the 24 AWG comment in the 153IR. I just tried it, and 16 solid securely fit into a 153IR - no forcing, jamming, cramming, whatever. Almost makes you wonder if "larger than 24" means numerically larger like 26, 28, etc.. which I suppose can be too thin to make solid/secure contact!