As for the rest of your post have you ever faced maximspam? Cuz i can tell you luchs is no hard counter.
How? If they build 3-4 maxims, they'll likely be lacking sufficient AT to defend all 4. Luchs is great against maxims, as long as its flak kills the guy wheeling back the maxim, you'll likely be able to wipe it. The maxim is still the only mg who's models don't warp to the mg when they drop it on retreat, and the luchs is the best infantry chaser in the game.