While you can get away with the sort of cursory cleaning of the bore that you describe for a goodly while with an SKS, doing so habitually will make the eventual thorough cleaning of the gas system, bolt/carrier, and trigger mechanism messy and time-consuming.
Since field stripping an SKS is a simple, straight-forward proceedure and needs only a cartridge or similar pointed object to effect, it'll save you time and grief in the long run to give the gas piston(s) and tube and the bolt/carrier at least a wipe-down and inspection after every session.
That'll keep the crud from building up in the gas port, on the piston and in the tube, prevent corrosion from getting a foothold, and spot most impending problems before they get serious.
Not having the chamber and bore chrome plated does make your Yugo more susceptible to wear and damage from corrosive ammo and rust, but there really isn't much ammo with corrosive priming in 7.62x39 around anymore. But all ammo deposits carbon and metal fouling in the gas system, so that's your biggest potential trouble spot if it's left uncleaned for long periods. Carbon (soot) is hygroscopic (draws in moisture from the air) and the high-temperature gases which cycle things will make sure that any protectant film on the parts exposed to them is burned off in short order. Leave that soot on things while there's even a normal humidity level for very long, and you will see rust sooner than you'd think.
IIWY, I'd take the little bit of extra time and effort to field strip your SKS and give all of the vital areas at least "a lick and a promise" after very range session. It will go a long way to extend the life of your carbine and keep it in first-class shape.
BTW, using Wolf or the other E. European mil-spec generic ammo with mild steel cases and "hard" military primers will save you a lot of money compared to Winchester or the other domestically-made generics, especially if you buy it in some quantity. You won't be giving up much, if anything, in the way of accuracy and you'll be able to practice more often, too.