I assume only a small percentage does that. Example: me.
But an even smaller percentage, I presume, does like the comfort of the Electrum client, and runs a Bitcoin Core node, but not an Electrum server. Electrum is such a lightweight software, and includes features such as mnemonics that makes backing up easy and safe. Bitcoin Core doesn't have seed phrase option for example.
"My" easy solution for privacy: Electrum on Tails OS, with as few addresses in the wallet as possible.
That's a good habit for chips, if you don't run your own Electrum server.