I agree. I think problems would be more likely if they started a directly competing product with HPC in the name, but an unofficial acronym for the joint name of 2 merged companies? I don't see it.
On a related note, would they be more complimentary or competitive to HPC Server? Both Cray and HPE seems like they're more focused on the hardware and possibly userspace applications than a proprietary OS. I'm pretty sure modern Cray's are Linux-based, and I don't know if HP-UX is suited to running a supercomputer, but even so it doesn't seem like it's core to HP's business - just one of the products in their portfolio that can fit where needed.
If HPC is a generic term for HPCs, then the company wouldn't be able to prevent competitors from marking their competing products as HPCs. So an HPC mark may have limited value. It would be like having a water company called WATER; you could do it, but you'd never be able to prevent other water companies from calling their products water.
Of course they could still call the company HPC, use the mark HPC for products or services other than HPCs, and use the mark CRAY for HPCs.
