You've almost definitely changed more punctures than me, but I prefer to finish at the valve so I can push the valve in as I seat the last bit of the tyre bead, ensuring the tube doesn't get caught between the bead and rim.
If you do it the other way around it's less tough, the valve is already seated properly and levers should only ever come out to get the tyre off not on so there is not pinching.
You've almost definitely changed more punctures than me, but I prefer to finish at the valve so I can push the valve in as I seat the last bit of the tyre bead, ensuring the tube doesn't get caught between the bead and rim.