On top of that, L-1 phone representatives are prohibited in the computer system from scheduling any appointments same-day, so if you try to reschedule, you have to wait for the next day.
I found all of this out the hard way. I live in New Mexico, just outside of El Paso, and the nearest center is about 60 miles away along I-10. There was a wreck on the west side of El Paso, and I got to the L-1 center about 25 minutes after my scheduled appointment. First I found out I was dumped from the system, then I called L-1 to reschedule, but they couldn't get me anything same-day. 120 miles worth of wasted gas
I'm sure I'm far from being the only person who lives 50+ miles from an L-1 center, as big a state as Texas is, so I figured I'd pass along the warning.