It really depends on the particular load, IMO. Shooting plastic sabots in my .50 rifle I've had to swab after every shot or the sabot/bullet would stick horribly in the bore. Using a well-lubed patch and ball (tight fit) the barrel gets "cleaned" every time you load one, such that the first shot loads easily, and all subsequent loads go in a little tighter, and all the same, all day, no swabbing. Some conicals are going to do a better job of taking the fouling off on the way down, compared to others. You'll just have to find what works best for you, IMO.
As a newbie I had some real trouble-- stuck loads, stuck cleaning patches. Had to get out the vise grips to pull out a stuck ramrod and jag once or twice-- an awfull time. Now it's a breeze.
Don't use petro-based lubes, and keep the thing lubed up with Bore Butter or similar natural lube in the conicals. That's important as it keeps the fouling soft and much easier to deal with. Don't ever use modern firearm solvents. BP is a whole different world. (some people get away with using particular petro solvents or lubes, but this is an exception to the rule. Usually petro-chemicals will react with the BP, forming a hard crust that is murder to deal with)
Traditions, I think it is, sells a plastic jar of cleaning patches that are soaked with their Natural-Lube (much like TC Bore Butter). I've been trying those, and they're great for a quick swabbing. Still, I don't swab at the range-- only at home after, using the treated patches in a hot bore, to keep the seasoning after a deep cleaning.