I would guess that they have already cleaned up, that was over a week ago ...
Hopefully they have pictures.
If the tech had muddy boots and no covers, he should have removed them prior to coming in ...
I have been in that position many times.
The mud-tracking happened a good 2+ hours in to the install. I don't like to hover, so I was off doing my own thing. 30 seconds after he left, I had the not-quite-steam cleaner out (trying to get as much out as I could before the wife saw it) and then ran off from there to work (the install (1xHR34+2xHR25) took almost 4 hours.. and he didn't have to run any cables.. just re-used what was there from my Dish install (which was there from the previous owner's TWC install)). My Dish install (which had to run the cables from the Dish in to the house took ~1.5 hrs less).. shrug.
He was very insistent that I check his ID... but since he also had a truck and uniform and all the other stuff, I kinda figured, geez he is either real, OR if he could steal all that other stuff, faking the ID is probably easy but I tried to look at it and nod with a serious expression I realize that the ID thing wasn't his idea, it was Direct's.. but as I said if you have a truck with all the logos, and I the customer wouldn't know a real Direct ID vs. something whipped up in Photoshop, as long as the pic matches, it seems a false sense of security to me