You can go as low as you want.....but there are 2 times that get shortened. The time it takes for the battery to go dead after you turn on the ignition and how long you can ride if the charging system stops charging. A really small battery will drop voltage quickly enough that you may not have a chance to start. Since you are kick start, if the bike doesn't start in a couple of kicks, the battery could be too low to give a good spark.
The coils draw about 3 amps when the point are closed...that will cause a small battery to drain quickly.
6 AH, to me, seems very low. While the bike will run and start, you will have minimum reserve. When the bike is running, you are not using the battery, it is only for starting (kick or e-start, both need current to get the bike running) and as a reference for the charging system, and if you have a field excited alternator, to bootstrap the alternator to a charging condition.
Think of it like gasoline. If you get 40 MPG, and you need to drive 40 miles, would you put exactly one gallon in? or would you put 2 gallons in case you need to detour. I like having a little extra in there...the battery is the same way....You can go minimum, but if you forget to turn the fuel on, and try to kick start for a couple of minutes before you realize, a small battery will have drained enough to make a start difficult.
Me? I'd stick to 9AH. You can go to 6ah, but 9ah gives you 50% more time to get the bike running, and 50% more time riding if the charging system quits.