The whole point of UBI is to avoid means testing, so there's no reason to game it. Of course, if anything, we won't have actual UBI because it's most likely politically untenable because of the exact perspective you have, but some form of extended welfare, which requires some kind of means testing, which is then gameable.
The people who have a drive to work will seem like they are getting less.
If it's truly UBI, then these people can avoid the feeling like they are getting less by not working, or taking a job closer, or starting their own company, that doesn't require driving to work. "I don't want to drive to your office" becomes an acceptable and usable reason to quit your job because you don't actually need a job under UBI.
