I've never noticed, but that may be normal. I just installed a new chain, (not my 1st rodeo, everything done right), and the wheel doesn't spin as long as it did with the old chain. Spins freely, just stops spinning sooner.
If the caliper is getting sticky or the brake pad plates have worn a notch in the sliding/retaining pin- the level of friction will increase. You should be able to push the caliper block toward the wheel with your hand slightly to establish piston movement. If there is too much drag of the pads the disc and caliper will be quite warm to touch. Slightly warm is normal. Sounds like a constant scraping when wheel turns.Don't worry about brake adjustment, the first time that you reapply the rear brake, it will return to the previous rear wheel drag state.