The volume of BTC loss from blockchain.info wallets is the highest, above any/all other web wallets currently operating, so it's good that you're not using it.
What do you intend to do with your private key after you import it online?
What's about coinbase ? they have an option to import private keys ...... are they trustworthy ?
Coinbase is government-regulated, which means that whatever the government wants Coinbase to do, that is within Coinbase's power to do (anything having to do with fiat, USD, identity, etc), Coinbase will do, no matter how unconstitutional, illegal, or repugnant to liberty/human rights it is. Proper searching for Coinbase will show they have been doing these things already.