Eaves designed the DSC Connie yes. We've known this since Season 1 lol
That's not what I asked. I asked if he designed the 'new' 32nd century Constitution class, because that's what I thought @Vale meant. I see now he was referring to the NCC-1701 Enterprise.
Also none of his other Discovery Starfleet designs have negative space (other than the Connie's pylons), nor do his designs in Picard.
One of the PIC ships in his concept art that was not chosen (from the defunct Star Trek Online game from ten years before) did indeed have negative space, as did his original idea for the Wallenberg class saucers, but the GGI model didn't have them.