I'm confused, and this article doesn't clarify it for me. They are talking about bigger, 18" 'tires', yet according the the FIA, the tires are already 26.4" (670mm). The rims are currently 13".
If they are talking about bringing the rim size up to 18", which is what it looks like in the photo to me, then the tire size does not have to significantly change, in fact the photo suggests a much lower profile tire on a larger rim, so I suspect the tire size change is minimal. The handling of the tire will be significantly different, with much smaller air chamber and very little sidewall camber.
The author of the article has made a mess of it, by referring to 'rubber', when I think he is talking about the component of the wheel that is anything but rubber. Loves his jargon, but apparently is only confusing the issue...or have I got it wrong?