. Somethings not right. Chokes not closing well enough, you could be missing hearing the first pop on choke flooding it, bad tunes, maybe just not enough umph in the pull. I use mostly several model Stihl saws 3 to 7 pulls to get 1st pop is most usually in average weather . Often they have set an extended time also. Extremely cold add a pull or two usually. I have 1 026 the choke is difficult to get fully closed. If i can keep my thumb down on the choke it may pop in 6 to 10 . Without the extra thumb pressure it might take 20 pulls on cold starts . Worse in cold weather. If i take the filter off and close the carb with my thumb , 1 or 2 pulls it will pop.
I sincerely think the choke not closing off enough air is usually the primary cause of the older model Stihls not firing off in fewer pulls. My 026 is believe the fit of the switch cam into the tank handle is worn and there's enough slop it's not pressing the choke flap tightly closed. On top of that the choke flap fit i think is less then perfect on this and many other saws that start hard cold.