I believe these games are above and beyond the season limit of 29 regular season games (or 27 plus an MTE). So basically like exhibition games that don't count toward the team's record or season quota of games.
Edit to add: I don't believe they'd be allowed to play a "non-counting" game against a fellow D1 team.
Oh, they count. And so far as I can tell, to the game limit as well. What they don't count towards is the various calculations the NCAA uses in seeding the NCAA tournament. But, unlike "exhibition" games, the records (win/loss and players scoring) do count.
And they became very popular a few years ago, seem especially bad this year. It isn't (mostly) the P5 teams doing it, they just schedule dreadful D1 teams when they are so minded. OTH - for the lower level teams - this seems to be their equivalent of scheduling down.
Someone described Southern as win-less, they are not. They beat Tougalou and Wiley. Their record is 2-8, officially. Oddly enough, while Rutgers was beating Southern, Arizona was playing Tennessee State - with its only win over Wilberforce, although they have since beaten Fisk.
Prairie View is another team with wins over Texas A&M Kingsville and the infamous Wiley - only.