Wait, the badges are custom? I honestly didn't know that
Yes, they are - some of them are licensed from elsewhere, whereas the most recent ones (the Kalos ones especially) we've had made specifically for the TCM. None of them are licensed for any other use. Worth noting the B2W2 badges you're using are both exclusively for us too. I had them commissioned.
The thing is, that means that we not only won't make exceptions, we
can't. The assets are not really ours to use as we see fit. Very, very kind people tell us we can use their hard work for the TCM, and when they do they only license them to us for use on Pokécharms itself. That means that I and everyone else on staff do not have the right to give anyone free use of them - and that includes taking the generated card and editing it.
The first post of this very thread states the conditions spriters agree to: "Please note that submitting sprites for the TCM gives us the right to use that sprite outside the TCM for other site purposes as well." That is
site purposes - I can use a TCM sprite in the design, or on a 'Charms banner, for example, but I can't take someone else's hard work, remix it, and post it on. Not even here.
You may not consider it fair, you may not see the problem. But those are the rules, and even the staff have to follow them. Stel can use his badges in any way he likes because he made them - but if I took them and used them without his explicit permission, that'd be art theft. Nothing more, nothing less.