Is there a "bicycle infantry"? or infantry using bikes...I would assume they were considered "mobile".
Many countries used bicycles with their infantry. But no, they weren't considered motorised. But they can cover roughly three times as much distance than footsloggers without bikes along roads in the same space of time. Consider that the German infantry and their replacement units actually walked all the way to Stalingrad. It's not on the front the bikes are used, but to get there. As long as there is a track or path, bicycles could be used. Except in mountains, of course... Well, except by the Italians.
The Japanese used bicycles where terrain, and lack of fuel, made vehicles impractical...... The French used bicycles to get to the Western Front in WW1......and they were used in WW2 The Germans widely used bicycles in almost all theaters....... The British had bicycles........ The Americans used bikes..........sorry I had too.........
The look like they are enjoying the ride British troop carrier in the Boer War Modern bicycle troops Operation: DARK CLAW Web Site LIGHT BICYCLE INFANTRY (LBI)
The British Army had cyclist battalions in WW1, but not sure if they were only used on the Home Front.
I can recall a British Propaganda film showing bicycle troops training in the late summer of 1940 to boost morale in the face os a possible invasion.
Japanese bicycle troops did play a significant part in inflicting the greatest British defeat in history. A smaller force defeating a larger force, capturing an impregnable bastion and the largest capitulation, all in one campaign.