I myself own both (Schoeps Mk41s and AKG 414s) and I owned AKG ck91 and ck93 in the past. Between me and the other nyctaper guys I get to hear a good bit of Schoeps (Mk41, Mk5, Mk4V), AKG (2 sets of 414s), DPA (3 sets of 4021s) and Neumann (KM150). Let's just get this out of the way - in terms of pure value and bang for the buck, the AKG product line wins hands down, particularly in the LD mic that gives you every pattern for ~$1200-1400 used.
That said, obviously, the statement you made about "Schoeps" was a blanket statement that includes, potentially, a wide range of products. I feel like the "Schoeps are boomy" comment applies primarily to the MK4 cap, recording PA systems. Let's leave aside for a moment other applications, like onstage, etc. To me, the MK4 and DPA 402x are pretty comparable in that they are both pretty accurate but also pretty dark. When recording a boomy PA system, especially in a sub-optimum placement, they will let you know. A steady and judicious hand with the EQ, however, can turn recordings with these mics consistently into gold, as they give you a very pure reproduction to work with. AKGs are brighter off the bat - the 414 B-XLS being specifically built with an HF bump, just like the MK5 - so it is not surprising that an un-EQ'd recording with them that you heard on the LMA might be preferable to, say, the MK4.
If you're talking solely about stereo pairs, recording PA systems, before EQ, I'd say among what my buddies and I have done, having the chance to compare different sources of the same show, I prefer the Schoeps MK5 the most often, the MK41 next, the AKG 414 after that, then the Neumanns (which can either be best or worst, depending on application, given their response pattern) and DPAs. But again, that's a tight set of criteria - I (and the guys I record with) almost always use at least some EQ, and we don't do plain vanilla stereo all that often. I suspect my feelings about the Schoeps MK4 would be closer to my feelings about the DPAs, based on the MK4 pulls I've heard.
What raymonda said is the real truth, which is different mics have different ideal uses. But I would say that, having had the chance to try out some of the high-end kinds, and not considering price, the Schoeps not only sound the best, but they offer by far the most diversity of possible setups with their wide range of capsule offerings, cablings, mounts, etc. Obviously their customer service is excellent, although I would suggest DPAs is even better as they have a stateside office for servicing, whereas Schoeps requires you to go through a distributor back to Europe.
Price aside, I think Schoeps wins hands-down in sound quality, versatility and size. If I were not considering size but was considering price, I don't see how you could do a lot better than the AKG 414s, and for an SDC, certainly, the 46x and 48x mics are a very high quality mic that costs less than Schoeps, DPA or Neumann.