I don't know... perhaps they tried but had issues with the size of the gear shoe. Are there Mk1 Atlas Alpha 3's with gear in a shoe? Because if there are that can be used as a comparison... but my thoughts are maybe the gear shoe would be too long and/or bulky and thus possibly spoil the look of the lantern.
The Alpha 1 was always a bit strange anyway - it was only offered in 55W and 90W versions, thus covering the very high end of Group B and/or the low end of Group A. I think they should have at least brought out a 135W version. I doubt they'd have ever made a 180W version, as the Alpha 4 only went up to 135W and that was a lantern that could have been capable of going bigger.I'm not sure if a gear in head MK 1 Alpha 3 was ever made that would of been a very heavy lantern, the remote MK 1 weighs more then later Thorn ones.
A 135W Alpha 1 opticell would of been hard to make and keep sealed.
I think that a larger shoe on an Alpha 1 wouldn't look to bad if designed well.