Yes, but the limitation of Twillio VoIP numbers is a show-stopper. I can already auto-forward Twilio and Google Voice SMS messages to a team/distribution list. Getting real carrier-issued numbers to do this is the larger challenge.
Which is exactly what the device on the link does. It's using a real SIM card to receive 2FA codes and then forwards it to wherever you configure it to.
Respectfully, this point is not clear on your website -- I thought the reference to Twilio was that you are using them for getting a number. I'm more interested now.