Some oil paints are staining and you can end up with a mark where the paint is quickly absorbed when first applied (although the ones described earlier are all okay to apply neat)
I know some folks like to use drying cabinets, but I just bung the model in the display cabinet for a couple of days to let the oils harden. Usually this is the last stage of the build anyway so the model won't get too much handling after applying the oils so the slow drying time isn't an issue.
I find all artists oil paints to be a bit staining. It depends of course on what you have applied them over with the darker pigments being more obvious. Over a gloss varnish much less so than over matt.
I have been playing around with painting models with artist's oil paints. I prime with Mr Surfacer 1500 white which provides some initial tooth for the paint and at this point any colour will "stain".
Not long ago I painted up a Revell 1/72 Fokker DR.I as a test piece, primed as described, light blue under surfaces, streaky olive green/brown, and red. All oil paints. Some detail paint work with Tamiya enamels. I was quite pleased with the results and will be further experimenting. Very different from working with acrylics; kind of like working with enamels but being much more workable. And, all brush painted except the primer. I have been making a conscious effort to brush paint for the only reason of "because I want to" and it is just another way of exploring different techniques.
I keep telling myself it's not about the destination, but the glory of the ride 
Paul
I agree whole heartedly - see above

the slow drying time isn't an issue.
I understand the new range of oil brushers are faster drying so might be worth a go if you are one of those types who enjoy playing with new stuff, but I still prefer traditional artists oil paints (Most of mine date back to my student days more than 40 years ago and are still good to use)
Fundamental to my use of artist's oil paints in this way is the use of a drier.
VMS sells oil paint driers called VMS Oil Expert
https://www.vms-supplies.com/vms-oil-expertThree different types for matt, satin, and glossy but are all basically the same thing ( I think ). You only need a drop or two and your oils will try to the touch in a few hours and fully dry overnight.
The VMS products are based on a cobalt zirconium base thinned with odourless mineral spirits.
Any decent art supply will likely have something similar and may be easier to source. I got mine here ( in Canada)
https://store.abovegroundartsupplies.com/products/kama-cobalt-zirconium-drier-125ml-50907.htmlI have been following all along and it is nice to see this coming together as it should.
cheers, Graham