A public CA checks it one-time, when it's being issued.
Most/all mTLS use-cases don't do any checking of the client cert in any capacity. Worse still, some APIs (mainly for finance companies) require things like OV and EV, but of course they couldn't check the Subject DN if they wanted to.
If it's for auth, issue it yourself and don't rely on a third-party like a public CA.
A public CA checks it one-time, when it's being issued. Most/all mTLS use-cases don't do any checking of the client cert in any capacity. Worse still, some APIs (mainly for finance companies) require things like OV and EV, but of course they couldn't check the Subject DN if they wanted to.
If it's for auth, issue it yourself and don't rely on a third-party like a public CA.