True, but that's already a much less clean separation between the credential issuer's and my domain on many dimensions other than security.
As an example, this was the security model for mobile contactless payments for the longest time, and arguably as a result these never really took off until Google came up with a software-only alternative for Android. The potential for rent seeking of the hardware vendor is often too great, and even absent that, it requires close cooperation of too many distinct entities (hardware vendor, OS developer, bank, maybe a payment scheme etc).
(Apple had no issues, because their ecosystem is already a fully walled garden, and they can usually get away with charging access fees even for non-security-relevant hardware interfaces.)
With a contactless smartcard, I might have to carry one more plastic card than strictly necessary, but the technology for that is pretty mature (wallets), and I can migrate to a new phone without any hassle or use my credential on somebody else's device in a pinch.