They do if they fly to Europe, yes.
Do they actually use it? Of course not
They fly waypoints in the FMS and
AFAIK the FMS doesn't use NDBs for corecting the gyros.
But an ADF has to be
carried.
I know a 7x7 pilot who flies to Russia and they have NDBs and they use them all the time. But Russia is a different universe...
More practically, I would never fly a plane without an ADF because it's handy for navigation on routes where there aren't VORs. Much of France is one example, and their VORs don't have colocated DMEs either. They have quite a lot of NDBs in the middle of apparently nowhere, and they make great waypoints. Obviously one still uses the GPS for primary navigation (and to drive the autopilot if applicable) and having the RMI/ADF pointing to the next NDB is a fine backup. In the absence of nasty weather, NDBs are nearly as accurate as VORs for en-route nav over flat open country.