I think the trim mostly allows the builder a balance between time/cost to make the top look good and be safest for arms. I've taken a few off a long time ago and can't see how they add any structural strength being so think and flimsy.
I have a friend (seriously) who tried removing his trim on a much smaller tank and broke the glass. Yours is much thicker though so I think your only concern is time and effort which of course you have plenty of.
I say do it!
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