I did this (thanks for the early heads-up, Ploni), though I had a few problems getting to the history page. Once I managed it, I was appalled to see how much stuff they’d managed to associate with me… nothing damning, just massive amounts of it. If someone wanted to cause me problems, or wanted to know what I was up to, that list would probably give them some good clues.

If you’ve got any Google account, I suggest you at least take a look at what the company has on you. Up to you whether to remove it or not, but once you’ve seen it, I suspect you will.