Depends on what you want to do with the rest of the bathroom. It doesn't look like it is in bad shape at all, but colors are outdated. If you were going to redo the whole bathroom, I would not settle for a refinished tub. The 10 year warranty in my opinion is a "tail light warranty" in reality.
But refinishing can give you a fresh appearance on the tub ( and they can refinish the tiles as well) and get a few possibly several years good service...go ahead.
If you do a major remodel, one option is to remove the tub, take it to a place that redoes the porcelain. But that tub is not such a gem that it is worth the cost of that.