"The enlightenments that are enabled by default include setting the hypervisor ID to the same ID that’s reported by Microsoft Hyper-V (which is “Microsoft Hv”). [...] when the KDNet transport initializes, it checks the hypervisor ID, and if it discovers it is running under Microsoft Hyper-V [...] it attempts to open a debugger connection using an undocumented protocol over a synthetic hypervisor-owned debug device that Hyper-V provides."
I'll give this a shot tomorrow on Proxmox and I'll drink something strong if modifying the hypervisor ID actually solves my issues! :D