If you are saying that a Windows application cannot tell if virtualization is in use, you are incorrect. It can both tell whether you are in a virtualized instance (e.g. if you have Hyper-V on) and if you are running a hypervisor. In the former case, a simple hardware inspection would suffice, and there are a dozen other methods to tell such as used by virt-what.

None of this is relevant. Maybe Docker's interface is "improperly configured" for the gaming use case. It remains a headache, and using a console is a viable solution that allows you to work with buggy instances of Docker without disrupting your gaming.