^^ The Coresound Stealthy Cardiods are not very good mics, at any price. I've owed them, and other Coresound products (including my current Coresound DPA 4061s, and my trusty set of Coresound binaurals which worked as well 15 years on when I sold them as they did the day I bought them), and while I don't have anything bad to say about their other products I've owned, those mics specifically I'd stay away from. They have a very unpleasant sound to me, and generally weak performance on the high and low end.
The Church product, or the cardiod offerings from Sound Professionals, are better. And they are cardiod mics. Assuming you stealth, you probably want a smaller model like the CA-11 versus the larger CA-14, though the -14 sounds better. From sound professionals, the SP-CMC-8 is the smaller set; the SP-CMC-4 sounds better but again is a bit larger.
And no, with the R-09HR, which has a decent preamp in it, I don't think you need a preamp for very loud rock shows. Will it "improve" the sound to use one? Well, probably, but for a loud show, probably not appreciably. If you were recording quiet acoustic music, jazz or something else that didn't rely on giant amplified PAs, I'd say something different.