I think you may be right in specific cases, but not likely as a general rule. How about pick an example, naming two such amps, one AB, another D, both by reputable manufacturers, with comparable specs, confirmed by measurements.
Let me start first, I would name the ATI amps:
This is a review and detailed measurements of the ATI AT522NC Stereo power amplifier. It is on kind loan from a member. The 522NC costs US $2,195 but I see it on Amazon for US $1,995. The AT522NC is part of a series which starts with 2 channels of class D amplification and goes up to 4...
www.audiosciencereview.com
ati-amp.com
ATI, Multichannel, Power Amplifiers
hometheaterhifi.com
ati-amp.com
So, based on objective measurements, the AT6002 did meet (exceed slightly) the specified 300/450 W 8/4 ohms.
The AT522NC (Hypex class D), also meet and exceed specs (slightly also) 200/300 8/4 ohms.
Amir has not measured any comparable 200/300 W ATI class AB amps so it is hard to compare them very well, though if you read through the details provided in the linked reviews above, you will not find evidence of the class AB AT6002 doing better with peak output into 4 ohms, or 8 ohms.
Here's a subjective review/comparison by
@RichB :
In market for a powerful 200 WPC amp? ATI has you covered with two completely different technologies. We compare the AT4000 class A/B and the AT522NC Class-D amplifiers to help you decide.
www.audioholics.com
Personally, I don't put much value in such subjective reviews, and I always doubt whether Richb can pick the duts out every time in he did a truly controlled DBT even though I know he's really confident he could still do it or had actually done it that way. In this case, we go by Richb's, the class AB amp (AT4002) did not do better in bass, in fact the other way around seemed to be true, to him. To others though, the impression could well be the opposite to Richb's and that's the nature of subjective review, you won't find consistency among reviewers unless you limit the sample size to just a few, even then, it could still be all over the place.