The version of Norse mythology we have today has been filtered by a Christian society, yet I basically never hear anyone talk about how the legitimacy of the stories are in doubt. It's just generally accepted that Thor did this and Baldr did that.
This kind of approach has in fact had a long tradition in the study on Nordic mythology at least since Sophus Bugge (Norwegian Philologist) in the late 19th century, and the majority of the academic literature now take much more cautious to distinguish 'pre-Christian original' element from later Christian influence in the written form of such episodes recorded in medieval Christian manuscripts.
You can see some fine examples of this attitude, based on the long scholar ship traditions, in answers by /u/Platypuskeeper in the following threads (I just cite them from FAQ sections in the subreddit):