Ask any small engines mechanic: Chainsaws have one piece cylinders and
there is no such thing as a warped head on a chainsaw. The saw is not
shot, but it may need new parts. Usually if there is a hot start
related problem with the saw, the piston, which is soft aluminum, has
started to melt at the rings, causing small pieces of metal to flake
off, increasing friction, especially when the engine gets hot. At that
point. you can't get the thing to spin over fast enough to start.
A new piston, rings and cylinder gasket will cost about $100 just a
guess,and then you need to learn to put the thing together, but it is
worth doing on a $600+ saw. The cylinder has a steel sleeve, so it is
the piston which breaks down first. The cylinder walls will be scored,
but emery cloth and elbow grease can fix that good enough for a
firewood saw.
Running extra oil is not a long term solution, you're scoring the
cylinder, maybe beyond salvaging.
Too lean of a mix can cause the above melting of the piston, and the
saw will sometimes seize up in mid-stroke.
Sometimes if the damage is minimal, and it may be in this case, a bit
of piston polishing and a new ring will get you back to business for
less than $25. Find an old timer who knows how.

JohnK