Synchronized swimming shouldn't be dropped:
--It's much more physically rigorous than many other athletes realize. It's meant to look easy - but those who do it at that level are literally dying the entire time! Touching the walls and bottom of the pool are prohibited - so all of the flips and stuff - that's done by purely treading water. Much of the routines are spent under water, moving one's arms at a fast pace - it's like running sprints - which everyone agrees is a sport - except one can't breathe for thirty second intervals during the sprint. If you don't think it's hard - try it - or at least try some of the stuff they have to do. Get in a pool and tread with your arms above your head - you won't be able to do it for minutes without dropping your height below your shoulders. Or try holding your legs out of water while upside down holding your breath - hard to maintain!
--Synchronized swimmers train for more time that athletes in any other sport. That's because of the full body strength required to do it. Unlike sports like running, which focus dominantly on the legs - synchronized swimmers need leg strength (to be able to tread water so powerfully), arm strength (to be able to paddle hard enough to support legs in vertical position), core strength (for certain positions such as ballet legs, balencing on lifts, or maintaining an aligned vertical position in the water), lung strength (you try spending that much time under water moving around without breathing!) cardiovascular strength (to keep them from collapsing from all of that exertion.), and more.
--Many don't find it exciting because no one is trying to kill eachother like wrestlers. But, much of synchronized swimming routines is risk moves - moves that either work fantastically or they're an epic fail - and they are so fast that it is very hard to control the movement, or stop it if it isn't going well. The lifts are an example of this. It is really hard to stand on people who aren't in one fixed position, and if you fall, it hurts (a LOT), you may hurt a teammate, and if nothing else your execution score just dropped enough to give you last place.
--Just because it is a "subjective" sport doesn't mean that all the ranks are based on is "I liked that" or "I didn't like that." There is a very specific set of rules, a list of criteria for scoring and descriptions of every piece of the spectrum, a set amount of weighting that is granted to certain types of scores (Difficulty is worth 20% of one's score while (surprise) synchronization is only worth 5%). It is actually pretty complicated.
Anyone who ever tried the sport can attest to this - it's one of the most time consuming and physically rigorous sports in existance. People don't just wake up one day and do it well. People give up the rest of their lives to do this sport competatively. Those people don't deserve to have their dreams crushed because some people think an activity that for olympians involves practice weeks greater than fifty hours is a sport.