It is hard to see the big picture just by the description. I typically take the conservitive approach on these boards due to the unknowns. Especially when there is potential of a cord being passed through a door. I fully agree with the argument of rechargable tools and such. I would, if I were the AHJ, take a good, hard look at it to include a sight visit to get a feel for what you are proposing. When I am called on for decisions like theses, I look at how the installation is going to be installed, how it going to used by adults and kids, how the mechanics work (potential damage form normal use), outside (non electrical) factors, etc. People can and do misuse electricity all the time. AHJ's are to help protect the innocent, not the stupid IMO.
