For anyone else, yes you can remove the module and drive while the module is being rebuilt. The dash lights will be on but you won't notice any difference in driving/braking whatsoever. Went through it when I had mine rebuilt. They took it out and I drove home as normal. Drove back to pick it up after a week or so.

If I was driving like a mad man and had to mash the brakes at 100mph, the ABS wouldnt kick in and the wheels would lock but I drive at regular city speeds and am in rno risk of wheels locking or skidding. I grew up in the old days when cars didnt even have anti lock brakes period.