I've had my K1200GT for four years. It isn't an only bike, so doesn't get used for daily commuting and stuff. The F-GS gets used more often, saving the K12 for faster journeys, sunny blasts and summer trips. I love the bike - the best bike I've ever owned for trips like that.
I have ridden K13's on various occasions, including BEFORE I bought the K12. The K12 just seemed much smoother and more 'together' to me. it may be that the 13s I rode were not run in or a bit ropey (though one was the new demonstrator). Or maybe I fluked a particularly nice K12.
I'm sure the K13 is more powerful but, to be honest, I can count the times when my chosen speed has been limited by the power from the K12 on the fingers of no hands at all.
I rode a lot of K1300S's before I road one I preferred to my K1200S. I have even ridden one that I preferred to my own 1300 (it was too expensive!). There is certainly nothing wrong with a good 1200 - and you're right, of course, power is certainly not something they're short of. The 1300 is more powerful but not vastly so and the way it makes its power means it actually doesn't feel as fast (which is a shame!). However its power and, more importantly, torque delivery is much more linear and available at lower speeds making it even more flexible than the 12. The result is that journey times are shorter without it feeling like you've ridden as hard and with noticeably less stress. That makes a difference to my life when my mileage has just increased to over 1000/week in less than pleasant riding conditions.
In the end it's what you want that counts and I needed a newer bike so a 1300 made sense. A lot of people seem to struggle with the decision whether to part with 12 to get a 13 and I just thought I'd chip in my tuppence worth. It's a personal thing. If I'd had the spare cash I'd have held onto the 1200 for sunny Sundays (or maybe I'd have just put towards the other 1300 I liked!) but I didn't so it's gone and I have a bike that's noticeably better in all measurable senses (except that its turning circle is slightly bigger). This thread was never meant to persuade - just to inform.