Yes, once I am connected to my desktop using parsec, I can group softwares and even when I quit the remote control session it doesn't close the grouped apps everything stays fine.
Only when there are softwares that are already grouped does it happen.
Parsec has free tier so anybody can test. I don't know if the problem also occurs on other remote control softwares.
What I do is I Ungroup all softwares when leaving home. Group them back when home again. Or when I am connected with laptop group them back and ungroup before closing remote control sessions. And because it seams I am the only one to have reported this issue it affects almost nobody so it is low priority. I did the purchase of groupy 2 alone not the subscription, if there will be a fix will it be under minor release so I could get it? Thanks for the support.
I want to add, I really love the software and I can't stop using it! Stardock developers did a great job.