Native apps aren't much better. The real solution is to use FOSS apps that you can check yourself and trust regardless of pwa or native.
Your browser and device already had APIs to track you long before PWA standard and they still do.
https://arstechnica.com/gadgets/2020/06/tiktok-and-53-other-...
https://www.theverge.com/2020/7/25/21338151/instagram-bug-ca...
https://github.com/facebook/facebook-ios-sdk/issues/1374
https://github.com/facebook/facebook-ios-sdk/issues/1427