To reorient the discussion back on topic, the Sharky Principle is often weaponized by those who don't understand the ongoing endangerment of our basic rights. Even with immediate relevant examples like Dobbs v Jackson. Though it may be broadly applicable across organizations it's important to pick good examples.
I don't really think it's accurate to describe abortion as "healthcare access". Whatever your views on the topic may be, the situation is more complex than that.
There’s another aspect which again really is that simple: the liability risk of having some theocrat second-guess their medical expertise means that hospitals are closing obstetric departments and doctors are leaving repressive states. Reduced access guarantees that people who would have had medical care a few years ago do not today.
https://www.idahostatesman.com/living/health-fitness/article...
In that respect "feminists" won a landmark victory in 1973 that was just recently overturned in Roe v Wade. That's one example of the importance of "sticking around".
As all your examples are of groups leaning one particular way politically I'll proffer another example from other side.
Consider the NRA, presumably they don't need to exist as the 2nd amendment enshrines the right in our constitution.
As you may point out that right is under constant threat. Apply that same logic to the groups you're disparaging and you may better understand their purpose.