Supporting the status quo would mean that you actively oppose those who try to change it. Being neutral means that you help neither those who try to change it nor those who try to keep it the same as before. They are not the same.
Example: A person is being murdered near you. You flee. Did you support the persons murder by not engaging, and therefore letting it play out? No, you did not.
I think inconvenience of activism plays a role here. I don't have to endanger my life by stopping a murderer. I should however at least call an ambulance if I see somebody bleeding to death on the street.
Of course I didn't support the bleeding by not taking action to stop it, but I did have a responsibility to act. I think this responsibility to act is the issue here. If I was supporting anything or staying neutral are semantics that I don't see central to this issue.
Example: A person is being murdered near you. You flee. Did you support the persons murder by not engaging, and therefore letting it play out? No, you did not.