One caveat on the rottenstone way, it's hard on checkering tools.
Yeah, that. I submit that filler is NEVER necessary and is an abomination to the checkerer. I've found even cloudy satin oils with flatteners in them will cost me twice as many cutters.
I start on bare wood with my finish thinned 50/50 with mineral spirits and a paint brush. I slop it on constantly in an effort to keep it soaking sloppy wet for 10-15 minutes, including all inletting. If I could afford it, I'd submerge the stock in this mixture. When it stays shiny wet everywhere for 5 minutes, I tackle the inletting with a Q-tip, making sure here are no puddles in tiny corners that will dry and create interference. I want it to dry dimensionless, and this is the only time I'll apply oil to the inletting. At this point, my finish has penetrated as deeply as it's ever going to. After this 30-minute task, I hang it to dry overnight.
Next morning, if there are significant dull areas, I may do another 50/50 saturation but, if so, it will only take 5 minutes this time. Usually, if I was thorough enough the first time, it has dried shiny on 95+% of the surface. Now I slop my finish on full strength and thick, avoiding the inletting. This is not pretty; it's thick and ugly but efficient. Twelve hours later, I'll slop on another thick coat and dry overnight.
Next morning, it's ready for a 320 wet sand back to the surface, but not so far as to open more pores, and I wipe the tacky mud off with not-too-absorbent paper towel and circular motions so as not to pull mud out of the pores. Then I glop on full strength and thick, and dry another 12 hours. For me, the only difference between the tightest English and the most open-pored Claro is the number (2-5) of 320 wet sands I have to do. I repeat this operation until the pores are filled; rarely does this take more than 4-5 wet sands with 320, or 3-4 days total. Only then do I move on to thin dry coats wet sanded with 400 and 600. No point in breaking out the 400 until a 320 wet sand leaves no shiny pore.