Segwit addresses which starts with 3 are fully compatible with any old software, so it should work. Do not try native segwit (bch...) Because it may not work with those exchanges.
What you're calling "native segwit" is bech32. I doubt it would have a bch prefix however.
Are you sure you aren't mixing things up with the cashaddress standard? Arguably, cashaddress borrows a few things from bech32, so it might be easy to mix up the two.
His software, ledger live, is calling those bech32 addresses native segwit, I am just using the same name as his software does.