That's a good question because at the moment Carbon printers are the fastest and (most important) produce production ready materials.

It does not. That's like comparing apple orchards to single oranges. But if you want to just compare print volumes then the paper claims ~127cm^3/hr build rate in a prototype system with a peak extrusion rate of twice that.

resin can be much faster, but is not really that great for deasktop/at home printing.

Yes there are DLP printers for enthusiasts, but the multi-stage process is not that great, as the chemicals are pretty noxious.

There are a greater range of cheaper plastics available for extruding.