Her logic is insanely flawed, the powerless have no power to keep the powerful in check, and if the powerful were entirely reckless and destructive with their power the powerless would be long dead before they had the numbers to even begin to consider rising p against whoever had the power to oppress the masses.
I hate tumbler logic.
Now, in Spider-man's case he sees himself as a protector, so by default any power he has or gains gives him the responsibility of finding a way to use that power to protect others, it's a self imposed responsibility, as long as peter chooses to carry that burden his moto rings true.
What really annos me is when people with no power or agency that wasn't given to them by someone else, tries to blather on about responsibility and having the power to change the world.
Like when feminists yap about this kinda thing, women lack the power to end literally anything men don't want to end, meanwhile men can do whatever they want as long as they want regardless of what women want, women only have any power or agency today because men, the beings with the most power and responsibility, decided it was their responsibility to make the world a fairer place.
It's fine to have an opinion, it's another to be an ungrateful ass who doesn't understand the world they live in.