Not much of this makes sense. Maybe we don’t have an equal understanding of private. If thats the case, this discussion is going nowhere.
I will point out, though, that this is particularly nonsensical
Govts are only after Telegram because they can’t infiltrate the company, ask for data etc.
Telegram doesn’t use encryption. Everything is in clear text. Nobody needs a back door to get access. Not even governments. It’s all just out in the open
Not an endorsement, because I’ve never used it, but kagi is an alternative which I believe has it’s own index. It isn’t free though
There is also searxng which is more of a meta search that will post your query to a bunch of search engines at once