It's grammatical, don't you see.
That is, being the target of male lust makes them a direct object, which is bad.
But having their nudity used in a protest, makes them an indirect object, which is hunky dory.
Next lesson: adverbs (which end in -ly). Example: FUGly
Speaking of direct vs. indirect, here is another flaw in this protest.
This is not a direct projection of power by women.
Rather, these women had to use reflectors, to indirectly use ANOTHER source of power to project(i.e. the sun) rather than project their own political power.
The reasons they use for participating are really silly as well.