We are at another MLS Next club. As it has been explained to me by our staff, the club and the school have to be in an agreement re number of practices and number of games the player will play each week for each team during the season that player plays both.
I do know of players in our club in our age group and in others who play on other teams (some public schools, some actual clubs, some GA, I think that is what it is called) and our club looks the other way and doesn't do anything as long as they show up for club games and practices. I have no idea if MLSN knows and I don't want to get involved in that mess. Don't know re Bethesda. It seems like a don't ask don't tell situation for our club but what do I know.