Helen Shaw in Vulture is mostly positive (and makes the same comment about farce depending on timing and how the cast needed a bit more rehearsal some here have made):
https://www.vulture.com/2022/04/theater-reviews-potus-and-mr-saturday-night.html
"Fillinger’s whizbang comedy is not perfect. Its characterization slews crazily around; its grip on gross-out humor is a little loose. (I am too dignified for details, but do not Google “abscess” following your time at the Shubert.) Still, POTUS makes its many effective jokes with its jaw cocked. Every now and then a woman will marvel at another woman’s brilliance and ask, “So why isn’t she president?” Darn tootin’. The best way to make such a point land, is, of course, to demonstrate womanly competence. So Fillinger, her killer cast, and director Susan Stroman go hard in scene after scene. If you laugh, they win — and they really want to win."