If you haven't encountered the phrase before, "I resemble that remark" is absolutely a play on the similarity between resemble and resent, suggesting in a light hearted fashion that the speaker has (perhaps) mild resentment, but recognises the truth because it is personally applicable. It also has an overtone (at least to me) of downplaying the seriousness of the "remark" by answering it with humor

For myself I'm a 25 year industry veteran, with 35 years of self-taught programming experience.

My experience with stereotypes and generalizations is that the problem is not so much that they might be wrong, but rather that they are always incomplete