Syndirelah - I'm not sure which story is true. Our trusted LBS guy thinks it is just fine to have our nice carbon bikes on the our trainers for winter (or rain) training.

He did have two warnings, though, aside from the advice you've already gotten about the tires.

Don't tighten the clamp on the skewer too tight - you can damage the bearings.

If you sweat a lot, put a towel over the bike, or, even better, buy a sweat protector (yes they make these). Even if your bike is a material that will not rust, the bearings are not, and salty water can be very damaging.

Congratulations on the purchase of a very nice trainer! May you have many happy hours of spinning!

Hugs and butterflies,
~T~