In this case it actually does. There's absolutely no need to change strawman to strawpeople, other than the necessary implied injustice that you feel for the fact that the word contains 'man', and therefore must somehow be corrected to contain both sexes. It's a silly changing of nomenclature for no other purpose than to generate a feeling of self congratulatory accomplishment over a wrong that doesn't actually exist, much like the severity of the injustice that you feel is placed upon women in society every day.