No, Anydesk does not have similar restrictions sorry. I've been using it for several years. The paid version does not cost much if you want to follow the rules. i cant recommend it enough over TeamViewer.
i have not looked at helpwire but can see its mainly developed in Ukraine by a US company. it might deserve a look.
As I said, I was looking for something for mac when i found nomachine. Nothing is really awesome on mac as a host but I stuck with paid AnyDesk in the end. On PC nomachine seemed like a really good option. Especially the 60fps support. Although there are still better options for 60fps on PC. Nothing really beats nvidia geforce based.
Im still patiently waiting for the 60fps perfect solution..
All I really want is a rdp type experience with 60fps that is not session based for when i don't want rdp. ive not seen anything do that yet without some caveats. AnyDesk and RDP for me for now.