With Firefox, yes.
I wouldn't fully trust other browsers to care about my privacy.
Screen real estate is precious on phones, so being able to permanently block "Install our app!" and even entire navigation categories (shorts on LinkedIn) is quite valuable.
Then you can "install" the site on your home screen or simply place it in collection folders so it's sitting ready on your "New Tab" page.
If you want an actual private Firefox Browser use a fork like Mullvad Browser, LibreWolf and Tor Browser.
https://support.mozilla.org/en-US/kb/sponsor-privacy
https://blog.mozilla.org/en/mozilla/mozilla-and-google-sign-...
The only one trying to convince themselves is you...