I'm one of the few people who have The House of the Dead on Sega Saturn and while I'm proud to own it my god is the framerate horrible. As much as I hope for new House of the Dead it's simply not going to happen on anything modern, the only system that could even technically do it is the Switch so my hope for this in the home market is basically non-existent.
Last month I sold my Saturn mint copy on eBay for a small mint! I loved House of the Dead. I still have a PS2 copy of Vampire Night which was the same AM1 development team it if I remember correctly. Confidential Mission on the Dreamcast was also a blast.
Looking forward to playing the new game.