I could not access Coinbase or Coinbase Pro on my phone, but could access both on my tablet, and could only access Coinbase Pro on my desktop. If any of these would have had occasion to ask for my Authenticator code it would have failed and then I would have no longer have had access.
Because the 2FA that supposed to be your second layer protection is protecting to sign the unrecognized device, which means that if you didn't use your tablet for the Coinbase pro, it will always ask for a 2FA verification since it is the unrecognized device.
In other purposes, enabling 2FA verification code is good for security because you can't able to transfer fund without 2FA, but the problem if you lost it, it needs for your to contact the support team.
You might need to read this
article from Coinbase.