Doesn't look like it from the source code - just did a search of the html page for "inspectlet". If they were doing it then you would expect to see the inspectlet code snippet in the header section of the page.
Of course this is just one page, they could do it on selected pages, or obfuscate the code in some way so a simple search of the source code doesn't find it or it gets loaded from an external file.
So, it so not a proof they don't use it. But, I'd say, unlikely unless you have more information.
From what I can see in the page, I'd say, no doesn't seem they do.