Do the properties of 3D printer resin allow it to stick to copper clad surfaces when cured? I am interested in turning my filament based 3D printer into a photo plotter with a laser that can cure a thin layer of resin coated onto a copper surface.
Brushed aluminum is a common bed surface for resin based printers. The aspect of the aluminum that is important to the print is the adhesion, hence the roughness of brushed aluminum. It has to be sufficient to hold the print in place, but not so extreme as to cause destruction on removal.
In the case of copper as a print surface, one would certainly want some mechanical adhesion in the form of surface roughness. You've not specified the forces that would be applied to the copper once cured. If you do not plan to manipulate the copper surface in an excessive manner, it's likely that it would adhere. It's also just as likely to pop free if the plate or surface is flexed. I've seen no reference online to copper coated print beds. This would lead me to believe that it was tested and rejected as suitable for 3D printing, but not necessarily unsuitable for your purposes.
This is one of those situations where testing is warranted and not particularly difficult to accomplish. You can purchase UV curing resin, build a tin to hold the copper surface and pour the expected layer thickness. Leave it in the sun and let nature's UV do the curing.
Consider if you have not yet done so to research safety practice for handling this substance. Wear gloves and eye protection, cover any exposed skin surfaces and have good ventilation.