MK1 and MK2 definitely had pins, I have a MK3 cylinder with a cross bolt --- from this thread it appears that not all MK3s had a cross bolt.
This is no surprise as BSA have a history of building what are called transitional guns which use up parts from the previous MK.
As an example, I've had a very early MK2 Airsporter in for repair that had no scope grooves as the cylinder was from a MK1 Airsporter --- BSA just used up the left over MK1 cylinders on the early MK2s.
All the best Mick