I'm not sure Alex, here is the link, let me know what you think
http://calsport.co.uk/bmw-s-1000-rr-hp4-2013/ilmberger/ilmberger-carbon-parts/VEU-046-HP4ST-K/
I was surprised at the price. Ilmberger is the HP BMW stuff you already have on the bike and is top quality. I've got it in my head that the replacement ilmberger pan is more like ?900. Anyway, the only thing I noticed on the link pictures is the front bottom of the pan is not one continuous piece. There is a fairing screw at the front lower section which doesn't exist on the pan on your bike. So I'm guessing that it comes as two parts with a cross brace, whereas the original Hp pan runs all the way round. That doesn't mean it won't fit but it's not the same.
Perhaps contact ilmberger via email and ask them the part number for the original if it's important to get it right?