@Calli102
@Lorina14 tagged me on this and as far as I know, those using a PMS should not experience a change in how the search algorithm ranks their listings.
The only thing I am aware of regarding PMS integration is some Hosts who have hotesl and/or have most of their listings outside of the US (except for a handful of other countries) may be automatically switched to the Host only fee structure.
Airbnb Service Fee
https://www.airbnb.com/help/article/1857#section-heading-6-0

The only other thing I have heard reported is that Custom Promotions are no longer available for PMS connected listings. However, another Host reported they did not experience that, so perhaps that has changed?