TDL fan here, have owned Studio 1a, 0.5 and still have my super compacts. I'd say they do need good current to really sing well. Right now the compacts are powered by a Mission Cyrus 2 with a PSX outboard power supply, around 100 watts or so of good current. Also had them paired with a Rogue Atlas 3, also a good match.
From what I have read about Lyngdorf it seems like there would be plenty of power on hand. I cannot speak from real experience, I have no experience with a Class D amp.