E-mail, especially when the MTA and MUA is connected to different environments, which requires relaying, could be particular slow (minutes, hours) if the e-mail hops on busy services.
And as I discovered in my own service: If the SMS aren't being sent - or the clients aren't getting them - there are so many parts involved that's really hard to pinpoint the problem and get an ETA for the solution..
MFA usually uses channels that are intended to be relative low latency (or that don't require realtime out-of-band transmission, like TOTP).
Email, OTOH, isn't generally reliably low-latency