I just actually went over that Mishna berura now.
He brings the Pri Megadim as literally saying it is NOT ME’AKEV.
“V’CHOL ZEH KDEI LATZEIS YIDEI HAMITZVAH KESIKUNAH, HUH DI’AVED YOTZEH KOL SHE’KIVEIN LATZES LEVAD – PRI MEGADIM”
Hilchos sukah siman tav resh chaf vav, halacha alef
So the actual Pri Megadim you mentioned says the complete hefech of what you said.
I’m not one to rub people’s nose in something, but you seem to be a little quarrelsome. Please just stop.