Positively, NO update needed, I just tested the latest trainer version - 1.15.0 (03.11.2018 +THE FOLLOWING) - with the latest game version - Update 0.6 - Happy Easter & Break A Leg (Link) - and it work as expected 🙂
Same problem here. While on the main hotkeys page, the trainer simply repeats "activated" and locks-up. If I switch tabs then it stops, but is unusable.
As for the IE opening, that seems to be because an invisible mouse cursor wanders off-screen on a multi-monitor setup and the user is unaware they are clicking the trainer window.
It's advised to use trainers using this trainer template on the main monitor only in a multi-monitor setup.
This game mode is multiplayer by definition so this would be a: Yes, this really falls within the multiplayer cheats section.
I just started using the trainer and playing the game in SP and have encountered this. I see no replies about your issue and was wondering if you or anyone else here has found the fix to this yet?