The Blockchair privacy notice indeed looks quite good, at least I have not seen any red flag, although some points are a bit vague (those ponts about that they use the data only to improve their service). I noticed also they are linked from some open source wallets, so they may have indeed a quite good reputation.
Thus I don't really understand @dkbit98's post:
Blockhair is garbage that is supporting concept of tainted bitcoin addresses, they even have ranking scores for addresses.
This totally anti-privacy and anti-bitcoin.
Can you link to some sources about that? No issue, I only think the contrast between your post and for example @ranochigo's is quite notable
Mempool.space's privacy notice is similar to Blockchair's, perhaps even a bit more coherent and with less unimportant information, so I may give them some more "points" in my "privacy score".
The entry I can't absolutely understand here is that one:
Arkham, isn't that one of the "bad guys" exactly?
By the way, I wonder if a service exists which lets you query a full node freely on a web interface, i.e. where you can download chunks of blocks instead of querying addresses, and then search the data offline for e.g. transactions and addresses. I guess some block explorers may allow that via API but a web interface would be nice for "quick and fast" queries.