I think everyone that is saying that Blitz “just needed time to process” are under the impression that Stolas thought that Blitz would want to stay.
Stolas is in love with Blitz. He’s excited by idea that Blitz would want to continue seeing him. But every time Blitz has the option to, he chooses not to see Stolas.
We, the audience, know that Blitz just struggles to show his feelings in a healthy way but from Stolas’ perspective he has been, accidentally, coercing Blitz.
So, of course the meeting is just a quick “You’re free, but you can stay if you really want. No? Okay, I’m hurt but goodbye.”