If the connection is really slow, it can lag a bit, but you can optimize the image to be quick and disable the sound, whereas in Teamviewer, the image will just freeze and you have to quit Teamviewer, the only issue with AnyDesk is just the CPU Usage.
It can be a little bit heavy on the CPU side when using it on older hardware. Anydesk has a lot of the options you would need from Teamviewer and does them right and secure. Anydesk has also improved with time, which now I find no use to keep paying for Teamviewer which has become really expensive as of late. You can transfer files, keep bookmarks of your most accessed computers or just organize them. It works exactly how'd you expect if you come from using Teamviewer or other remote desktop access applications.
Really pleasant and a great alternative whenever the Teamviewer License we use at work is under use and we've been considering and slowly moving our clients to AnyDesk because paying Teamviewer is now an expensive subscrption when there's so much good alternatives.