If you want to get better security out of the experience, you'd better own your Bitcoin rather than keeping them in the care of a centralized service. Don't buy into "better technology" or any other such buzzwords that may or may not have their basis in truth. A decentralized, peer-to-peer money like Bitcoin should only be used if you're willing to take responsibility for your own security. If you're not willing to do that, then Bitcoin is probably not for you.
This is a lesson that many learn too late, unfortunately.
I remember a friend who invested in bitcoin and held it in an online, web wallet. I guess he went to a fake site once because all the crypto funds he had in his wallet were stolen.
This happened just a few days after he bought bitcoin and opened that wallet.
After that he was angry and said that bitcoin is not for him, that he will not invest in crypto anymore.
Unfortunately, there are a lot of cases like this, and that's why we have to always teach and warn new users to be very careful about the security of their crypto assets.
Only the minimum funds necessary for trading should be kept on crypto exchanges, using all available levels of online protection, and all other funds should be kept offline. I personally use Ledger for this purpose.