Do both ends of the fruit taste the same?

Honestly haven't checked to see if it's both ends - but the first time I noticed it was when I had sliced one & ate a slice from the middle.....

yes - both ends......the whole thing

Have you talked to your neighbor about this? I've had very bitter cucumbers before due to hot dry conditions but nothing like what you described.
jim_6b

I googled it, just to see what came up. One source said it was due to lack of moisture in the fruit and could be eliminated with proper watering. I saw multiple reports of this phenomenon in the search results, but low moisture was the only explanation I saw.

Here is a link that might be useful: by Charles Phillips, Ag Extension Agent, Columbia County GA