FWIW, I am not familiar with the setup of your computer speakers, but I am not sure that test is reflective of either mic's characteristics in the real world.
I too own a set of CSBs and used them extensively for a long time. Purchased the CSCs back in 99 and ran them for awhile. I have nothing but good things to say about the build of both the CSB and CSC mics - extremely solid, easy to use - and I had a great experience with Core overall and may well get the HEB's eventually.
However, I ended up going back to the CSBs and using the battery box after many recordings with the CSC, in a variety of spaces (indoor, outdoor, close to the PA, far away) did not give the results I wanted. I didn't like the bass response and found the sound lacked a sort of roundness that I like in a recording. To some degree, I think this is an issue with all of the small cardiod mics, even the most expensive.
I wouldn't tell you to get rid of your CSCs if you're happy with them, but I would definitely try a real-world test of the CA-14's before dismissing them also. I have not used them myself but have heard samples that were very strong.
For what it's worth, I myself run the Sound Professionals CMC-8's now with omni caps for more up-close situations and the cardiods for everything else. I have been very pleased with the results of both caps and recently upgraded the cards to the AT853. FWIW, I chose SP over the Church product because I wanted the versatility of switchable caps. Since you already have a battery box, if you're trying out mics, you could give the SP-CMC-4U a shot as well and see what you think, as that model uses the AT853 caps.
But who knows - if the CSCs are working for you, stick with it. I find with any of these the user of the mics can have a big impact on the mic's performance.