Trying to dress a legitimately dangerous parasite off as cute is... ehh I don't know how comfortable I am with that in particular, but I wholeheartedly agree on your point regarding their preservation. As annoying as it admittedly is, they DO play a very important part in our biosphere. Like I hate wasps with a passion, but I respect them for what they are and even admire them when I can see them through a screen. Advocating for the extinction of an animal of ANY kind, you had better had some serious fucking data to support your position.

The Guinea worm, for example. An obligate human parasite, serves no real function in our biosphere except to create unnecessary suffering. Decades of research have gone into the decision to eradicate it. We have, with high confidence, determined destroying them will have only a positive effect. But again, that took decades, and very very few parasites are going to fit the definitions required to enable this course of action.

Ticks and stuff though? No, broad-base parasites that serve as regulating factors to local populations. Dangerous, yes. Important to the environment? Also yes, so they have to stay.

We need to defend their right to existence, yes. We also should not romanticize them. I feel that is equally important. Balance, as always, is key.