Because it doesn’t take a lot of bulk to do everyday tasks. Your dominant arm does a lot, but doesn’t have to be that big. As such, it probably is bigger, but not enough to be noticeable.
Now, if you have a dominant arm and do lots of strength work with it, it will be noticeably larger. Take Rafael Nadal, for instance, who is famous for having one huge (tennis) dominant arm and a nicely built but much smaller (tennis) non-dominant arm. https://www.reddit.com/r/tennis/s/nUIJfI5Cl6
Edit: put in some parentheticals for the pedantic because Nadal is a righty but plays tennis lefty, so his left arm is huge
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