I don't think many other people think of names as I do. When I see Wren, because it's not a common name, after the first bird and St Paul's cathedral associations, I immediately think of all the other words that start 'wre-', and none of them have very positive meanings. Wrench is clearly the closest, but then you've got wreck and wrest and wrestle and wretch/wretched and wreath (which I suppose could have a positive meaning as in 'wreathed in flowers' but makes me think of funerals) and wreak (as in havoc).
So the word is just not good in my slightly odd brain.