Accuracy is the province of your barrel. Use a good barrel, and the accuracy will be the same with a flintlock, as with a percussion action. Practical accuracy depends on all the things mentioned by other members above. Lock speed is critical, but that requires not only a tuned lock, but proper loading procedures done every time by you, the shooter. You ability to shoot open sights will determine how small a group you can get at longer ranges. You own eyesight will, in turn, determine much of your ability to shoot open sights. There are tricks to do with open sights to make them work better for us, and there is plenty of information on all that here on the forum. Some shooters eventually replace their open sights with peep sights, and as age brings on cataracts, and other degenerative eye disease, some will put scopes on their guns just to get a few more years enjoying shooting their guns.
Long range shooting with Flintlocks is usually reserved for target shooting. If you check the national record scores from Flintlocks and Percussion guns from information available from the NMLRA, you will find that flintlocks do just as well as the percussion guns do.
Most practical shooting, either at targets, or game, is done at 50 yards and under. Far more whitetail deer are killed at distances less than 50 yards than beyond. Some experts indicate that a flintlock will actually ignite the powder faster than a percussion gun does, in a well tuned lock, and I have personally had experienced percussion rifle shooters at my club ask me if I had switched guns and was shooting a percussion rifle, because they heard my gun go off so fast. When I show them that I am shooting the same flintlock rifle I have always shot, they then ask me to show them how its done. I have converted many percussion shooters to the Bright Side of Rock Locks, doing this in their presence, so they can see how its done. It depends on your definition of " ignition" as to whether the experts are correct or not. Bob Trauwig states that a well tuned flintlock will have the main charge igniting before the hammer finishes its fall. IMHO, it then depends on how the powder charge and PRB are loaded in the barrel, as to whether the gun actually fires before the cock comes to a rest, or not. One way or another, flint ignition can be as quick if not quicker as any percussion action delivers. Learning how is what makes shooting flintlocks fun and exciting. Knowing how gives the shooter a lot of satisfaction when he hears to gunshop " experts" telling people that flintlocks are " slower " and less "accurate " than percussion guns. We just smile, wait for the customer to get away from the expert, and then offer them better advice, and the opportunity to learn.