Ignore them and do what you do. Engaging in a "snappy comeback war" is generally a self-defeating enterprise (unless your name happens to be Groucho Marx or Bob Hope
Can gaited horses do anything a trotter can do? And vice versa? Well, sometimes. It all depends upon the conformation and training of the horse and the skill of the rider. You'll not see a gaited horse take the Roses at Churchill Downs or win the Rolex or take top honors at the Stampede. Does that mean they're not as "good" as a TB or WB or QH? In one sense, yes. In a broader sense, no. They are different. Applying the "horses for courses" rule that's not a surprise. Or a Bad Thing!!!
Enjoy your horse for what it is. Train it (and yourself) to do what pleases you. If that offends others then let them be offended.