Actually the newest version does allow export. For years it was true you couldn't export. But now they allow you to export. Thankfully.

Though I tend to use U2F. With Yubikeys and other U2F keys. I use my Yubikey to store a backup of the TOTP (Authenticator type) codes. I also set a password and touch required to generate the codes.

If you're talking about importing/exporting your list of 2FA codes, I think they've added it

They have! But only via QR codes (multiple, if needed). It's clearly meant to help migrate your TOTP secrets to a new phone.

Have they? I can't see it on their IOS App version 3.01. It's only had two updates in 4 years for cosmetic stuff.