Re: What year did the first "recoil" type starter appear?
As already pointed out, a lot of the early recoils weren't too reliable. Thus, many were removed. There was always a rope sheave underneath. The other common part to remove was the lower shroud to get access to the sparkplugs. A lot were never put back on and got lost.
A motor with these parts intact will command a higher price for a collector, but only for less common motors. A 3 or 5 HP Johnson, for example, has more value as a runner because its not collectable just because of the sheer numbers manufactured.
Where motors were available with or without a recoil, I doubt that the collectors value would be significantly different.