That certainly can't be demonstrated with data. "Felt Recoil" depends on many factors but the calculations are pretty easy. The PD systems put more weight forward over the barrel and weigh a few more ounces overall which gives them the advantage in any recoil calculation.
The Piston system actually stiffens the barrel's resistance to "whip".
For precision shooting the Piston System is far superior which is why it's so easy to make one that will shoot sub MOA with a much lighter barrel than is required on the DI systems.
Expert may disagree and do but many agree that the PD's are more accurate for that reason.
I currently own quite a few of both types and have for many years and my accumulated data strongly supports this.
Pick up an off the shelf Sig 516 or 716 (Or similar quality PD AR) and compare it to any off the shelf DI gun and test them both with the same types of ammo under varying conditions and see what you come up with.
Another good article.
Direct Impingement vs Gas Piston Systems: 2021 Guide - Gun Mann