I don't think I've ever been truly burnt out on Trek. At least not like I was burnt out on Star Wars after all those years and years of non-stop hype over the prequels.
Even during the VOY and ENT years, I was usually still able to enjoy at least some aspect of the franchise.
SW prequels and it's mediocre spin offs that have been foisted upon the public since the prequels finished in 2005 made me quite tired of the SW universe. The Clone Wars cartoons were become a grind by season 3, etc. etc.