Ctchen, I know you have the 938s, and I think it would be a mistake switch to the Thiels. I have heard the CS2.4. I have heard almost every Thiel model starting from the late 80's. Although the 2.4s are very clean sounding speakers, I found it to be very clinical/sterile sounding. You won't get the same level of slam, delicacy, dimensionality,
imaging, coherence, smoothness, midrange magic of the 938s.
Personally, I think the best speaker the Thiel ever produced is the 3.6. It is more fuller sounding than the 2.4s and has great coherence that's lacking in most box designs. The draw back of the 3.6s is it's lack of realistic staging/imaging. Although the imaging is highly specific the entire soundstage to me appears miniature in comparison to the 938s. And Thiels can sometimes sound artificially too detailed to the point of fatigue, so I think electronics matching will be more of an issue. But some people like the Thiel sound. I almost bought the 3.6s in the early 90s, but stuck with planar speakers because the lack of realistic soundstage.
The only way to find out if Thiels are to your taste is to go to a dealer and hear a pair. If you are having second thoughts about the Hyperions, you may be a Thiel guy, like Fatcrider. Are you still using the DK integrated? I have upgraded to the Jungson 88D Class A integrated (it broke down so I'm waiting for a replacement), and I really started to enjoy the sound as it started to break in after 40 hours. Like all systems, it's just not the speakers. I had to put in lot of hours fine tuning the room acoustics, electronics, and wires to get sound I crave for. Good luck. Let me know how you do.