In theory I have no problem with this, but it does place a huge burden on whoever’s hosting. You’d need several hosts for a tournament, if we were still looking at week-long rounds.
@vengefulpickle was developing a bot last year, called @ref, to semi-automate several Sirlin games, including Codex. I don’t think any of us took him up on testing it for Codex at the time, but this is an alternative way to go.
Either way, you’d need some way for players to revert a turn to make corrections, and for judges to intervene.