The Luchs is in a horrible place tech wise. They ought to move it to Battlegroup HQ or Mechanized HQ. It costs 195 fu (adjusted) to rush out a Luchs. For comparison: JPIV costs 202 fu (adjusted)
Adjusting the fuel is very, very silly. Rate of fuel income is affected by territory you control. OKW get less income because they can divert resources from muni to fuel. Not sure on the exact percentage that gets converted but I'd wager it's significant.
So in other words, if you want a fast luchs you can absolutely have it very quickly. The only real limiting factor is waiting for the sws halftrack to spawn.
The reason the luchs is in the panzer command is to make rushing oanzer command a viable mid game build. If you get BHQ--> PC you need a light vehicle.
Even building mech at the start of the game then panzer asap after can mean a really fast luchs + pziv. You just have to micromanage resource conversion so you have enough muni for sturmpio medkits.
If Relic ever listens to you guys and swaps okw units around they'll be a much lamer faction for it. No one else has the teching variety OKW has. Experiment sometime and you'll see how neato they are.