Yep this is a neat trick too. Also I must say (as a hobbyist photographer myself) that even if you're on a budget, if you want to go the optical route, you can easily grab a cheap used DSLR like a Canon 60D which often goes for <$200 used, and slap on an old M42 Russian lens with a conversion adapter and get fantastic bokeh for video calls.
The mildly annoying part is most DSLRs don't have an AC adapter input to allow them to be constantly on, but you can buy a "fake" Canon battery that sits in the battery compartment and wires in AC adapter input.