Two things: when you say "suck the majority" of the fluid out, are you doing anything more than opening up the bleeder and squeezing the lever?
Do you need to run a certain amount through to flush out the old, like until it runs clear? Or is it sufficient to just fill it back up once drained?
Thanks
I use a syringe to empty most of the old fluid from the master cylinder reservoir then top it up with new fluid. That's pretty much standard practice whatever bleed method is used as it means you start off the flush with mostly new fluid.
Old fluid tends to darken so it's easy to decide when enough fluid has been flushed through as you just stop when the fluid coming out of the bleed nipple looks clean. At least 2 or 3 fills of the reservoir are likely to be needed as a minimum but brake fluid is cheap so there is no harm in using more volume.
To clarify: with the gravity bleed method there is no need to touch the brake lever during the whole process, just open the bleed nipple and allow the old fluid to drain while keeping the reservoir topped up with new fluid.
I'm puzzled that I've spent 45 years bleeding brakes without giving this simple method a try. Perhaps it just didn't occur to me that the brake fluid would drain out without any assistance.