Thanks for the extra build.
But unfortunately it doesn't make a change.
As it seems (I've tried on 3 Amigas, A500 with ACA500+, AOS 3.2; A1200 with ACA 1230, AOS 3.1.4; A1200 with Vampire, AOS 3.2) the game can't be started when copied to HDD. It starts fine when starting from floppy.
Now of course it would be cool if I could just drag&drop the icon to HDD and start it from there. That's what I thought is the install procedure.