It's certainly not true that printing a native website to PDF from a browser window will generate an output with "exactly that look". Elements used in web pages frequently don't translate well in the conversion, hence my interest in using the clipper tool to pare the content down before routing it to a PDF format.
This is a great suggestion, and works well for some sites. But not all. I would much rather be able to select a level of web clipper detail (e.g., "Simplified article"), take a look at the preview as displayed by the clipper add-on within the browser window, and then generate a PDF that looks as close to that as possible, without routing anything to an Evernote notebook (or, perhaps, sending the PDF itself to a note). The content looks different once it arrives in an Evernote note from the clipper tool, and printing to PDF via the browser interface when the clipper preview is shown produces an output that often does not mirror the preview (e.g., many elements hidden by the clipper tool in the preview are included in the PDF when using this approach).
If it's possible to save a PDF that looks just like the clipper-generated preview using only the browser, I'd gladly use that approach. But printing to PDF while the preview is loaded in a browser window doesn't work in my hands. I'm pretty sure this is the same request the original poster was describing as well.