I recently had this problem on an 026 Pro. BUT compression was border line and piston was scored. Sooo being a cheapie, I first put in a new piston and ring set; the slow starting problem remained and the compression was not as good as I wanted. I then replaced that with a new complete top end kit, cylinder and all. Compression was remarkably better. But even though I tinkered with the twin jet carb, repair kit, adjustments, etc it still did not start the way I thought it should.
My problem was I love this older Walbro 194 twin jet carb. But, I pulled that carb out and put in a used, single jet carb that I had taken out of another saw, put one turn CCW on the jet and it cranked right up; its runs and cuts great now. I would never have guessed that this would solve the problem???
So who knows what part of Mother Nature is shinning poorly on your saw today. You try the obvious, then you just try and try till you get it right. Fortunately, as a retiree my time is not on the bosses clock, so I can take as long as necessary to resolve the problems I encounter. Good luck.
Maybe Andy or Tom will come along and give you some expert advice.