The HH does. I am not sure the HP does have suites.

While that was not your question, I would like to mention as an aside that the HH and HP are not exactly great hotels. There is value to be had with them being cat. 1 and such. But they are quite out of the way. I have had suites which were not cleaned properly at the HH as well. The limited shuttle hours mean you might have to go taxi or Uber both ways, which can add EUR 20-30 per direction. Again, there is still value to be had. But, after factoring in my itinerary and other brand pricing, I often choose a hotel closer to T2.