Regarding chargebacks, I think if it had never been so easy for someone to fraudulently make use of someone else's credit card account, chargebacks would never have been a thing in the first place. As it was, credit card companies had not choice but to offer that feature just to get anyone to be willing to use their fragile, easily exploitable system.
Conversely, I think "no chargebacks" vis a vis "not your keys; not your bitcoin" just makes intuitive sense... at least as much as it does with regard to cash transactions.