draft evader vs draft dodger

draft evader and draft dodger both are nouns.

Word	Noun	Adjective	Verb	Adverb
draft evader	Yes	No	No	No
draft dodger	Yes	No	No	No

As nouns, draft evader and draft dodger are synonyms defined as:

draft evader and draft dodger: someone who is drafted and illegally refuses to serve

draft evader (noun)	draft dodger (noun)
someone who is drafted and illegally refuses to serve	someone who is drafted and illegally refuses to serve