No, a 15mm wrench is not going to turn a pedal or bolt that requires a 13 mm or 1/2" wrench.
When you buy from Amazon, you are at the mercy of the poor descriptions provided by many of the sellers on Amazon. Not because they are trying to hide anything, but probably English isn't their first language and more so that they have no idea about what the product they are selling is really used for.
I might consider the length of the handle too short, even at eleven inches, to get a good pull on a hard to remove pedal. As well, it only lets you get one position on the flats. And if you need a cheater bar to get a really really stuck pedal loose, then you'll have a time finding something to fit over it.
I'd get something like this... but it cost more. It's only for pedals with 15mm flats, which is most pedals.
https://www.universalcycles.com/shop...ls.php?id=1148
There is also this for a lot less, but shorter handle and only one position....
https://www.universalcycles.com/shop...1&category=214
But I just use a plain ole open end wrench that just happens to be thin enough for the pedals I have. I don't usually like having what Alton Brown calls a "uni-tasker"