Obskuritaet: Go to ACCOUNT >>> LIBARY >>> klick on FROZEN SYNAPSE >>> then klick MORE >>> SERIAL KEYS >>> there are 3 keys: 1 for Frozen Synapse, 1 for Frozen Synapse Red and the 3rd one is an Frozen Synapse redeem code.
That's weird. I went to checkout with "Frozen Synapse" and "Frozen Synapse Red" in my basket. There was a message saying that
FSR is included with FS, so I removed FSR and paid.
I've just checked the serial keys as you outlined above and I have only Frozen Synapse and the redeem code for a second copy. There's no Frozen Synapse Red!
edit: I just purchased Frozen Synapse Red (even though it was again telling me that I own it as part of Frozen Synapse), and I now have the serial keys for it! Hmm, may be I should query this with support...
Update: I contacted support, and found out that 'Frozen Synapse Red' isn't actually supposed to be included with 'Frozen Synapse'...