Thank you for a completely fascinating debate!

Organizations that certify resume, résumé, and resumé writers advocate specifically (if you wish to acquire your certification) that you adopt the spelling "résumé." (Been there, done that, have the t-shirt). I, however, humbly disagree. As already noted, some pretension is communicated in that spelling, and right or wrong, "resumé" does not carry that same feeling.

The accent on the last é does do the best job of distinguishing the pronunciation of this word from the ongoing "resume," regardless that English does not use accent marks. And, yes, the context of the word is not likely to be confusing, and yes, "epitome" does not use an accent, but, wouldn't it be just grand if it did? It would keep some of us from sounding completely stupid. Possibly.