Not to the extent of them. I wouldn’t even say it’s close, as far as characterization goes. Batman is typically regarded as a stoic, serious character who thrives being casted in grim dark settings. Superman is the foreign alien who adopts the image and personality of a do-right Boy Scout.
With Wonder Woman? Her character hasn’t been fleshed out as much as theirs, her ethics/beliefs, her life outside of being a hero. My guess is some people would say “Oh, she’s the ‘feminist’,” all about that “Rah rah I am woman, hear me roar!” Types of things. Some people have a very unfavorable view of feminism, and things like Wonder Woman slicing and dicing away with reckless abandon with a sword may not be seen as out of character, but actually on brand. Scans like as seen above certainly don’t help by muddying the waters. Of course, I’m just speculating a bit about that.