Honedge Lysander Labs shiny hunt

I have the shiny charm and with a controller to automatically press A for the teleporter. Only shinies I have been getting are the Doublade and Noivern next to the entrance. Are the Honedge’s too far to spawn in when you teleport to the back of the labs? I’m trying to get a shiny alpha honedge since they seem to be alpha’s more than the Doublade, for me at least.