I doubt it’s malice as often as a cost saving measure presented in a scummy/lazy way.
The simple fact is that all browsers load pages differently.
If you want to minimise cost, you’ll optimise the site to the most popular browsers.
Firefox, unfortunately, is at the very bottom of the popular browser list.
There’s absolutely nothing else that most sites gain by promoting Google.
Except, as of recent, a lower likelihood of user having an ad blocker.
Not necessarily, paperless offers various sorting and cataloguing features, as well as rules and basic learning. If you spend time setting it all up, it should drive itself in time and search may only be a fallback mechanism.
It’s really useful where you can tell it ‘catalogue this as x, but also store it as y’. So, again, if done properly, you can move to another system with already well catalogued document structure.