I'd say the reduced pressure is beneficial out of the saddle. I'm about 177 lbs (200ish total) and a former 110/100 23c tubed guy - from when we thought that meant lower rolling resistance. I went tubeless on the mtb circa 2008; on the road circa 2017? Currently 28s at 75psi and loving it.
I never felt any squish climbing out of the saddle, diving into turns etc. But now that you bring it up, I'm remembering how, when I'd sprint - like full gas, trying to rip the bars out of the stem kinda sprint, I had an issue with the back tire dancing around a little. Those were 1,100 - 1,300w (3s max) sprints that clearly were devoid great (okay, any) technique. But, I do think the move to 28s and 75psi has mitigated my bad technique. The tire doesn't do that same little side to side hop and skip. Oh sure, maybe I'm not making the same power these days. But let's just go with the improved grip and compliance angle. ;-)