Nope, it's cold. But then again, the servers do a special little dance with the shortcake before they serve it so it would be pretty much impossible to think about warming it up before serving. It's a good dessert, IMHO.
I've never heard of strawberry shortcake being served warm. I'm sure when the shortcake is warm from being fresh baked it must be amazing. However, if the shortcake is warm from being heated in a microwave, don't bother. I'll just eat it as is.