I tried this but the DMV doesn't let you request it ;-( Alas, probably for the better...
At each DMV there are a stack of license plates that they hand out on-site. So requesting a vanity plate of the same format would probably require them to search those stacks (across all DMVs) to pick out the plate.
With my car, trying to lock the doors just doesn't work if one is left open — not always the most obvious failure mode, but it's been enough to get me to notice something's wrong.
At each DMV there are a stack of license plates that they hand out on-site. So requesting a vanity plate of the same format would probably require them to search those stacks (across all DMVs) to pick out the plate.