Ive got a TT600R too. When i first got it, it would take 5-10 kicks to start. I had a 10.000 km service done at a Yamaha dealer, and the valve adjustment made all the difference. Now it starts in 2 kicks cold and 1 kick hot. Cold for my bike is when the oil temp drops to about 40-50 degrees.

I had it winter-stored for 3 months and it started in the 5th or 6th kick. Remember, that current is stored in the CDI capacitator and provided to the spark plug, so if its stored for a while, then the first couple of kicks is to "fill" the capacitator with current.

Note that mine also has some very light white smoke at start-up, but only when its very cold. Its probably condensation while the exhaust heats up. The smoke is so light its only visible at night in the glow of the tail light.

Do you remember to turn off your lights when starting it? With no battery, the lights take too much of the current away from the spark plug. It makes alot of difference in starting it. Even holding down the front brake (brake taillight), can cause it to be hard to start.

Also, do you remember to turn your fuel petcock off when parking it? The TT600R doesnt like a open fuel petcock when parked, even for a short while. Mine also refuses to start, if i turn the gas grip to rev it at start up. It totally drowns out.

So the procedure for me is as follows:

Lights off, and hands away from the gas and brakes
Find top dead center
choke on
fuel on
kick

My most important advice though, is to get the valves serviced by someone who knows what theyre doing, eventually spending some cash at the Yamaha dealer to make sure.

Here is my TT: https://youtu.be/C_LfJv6WrW8