And that is exactly my point on why DSC doesn't have to look like TOS to fit in canon. ENT already showed, for better or worse, tech in the NX-01 that is seemingly more advanced than ships launched 100 years later. The JJ films show us two additional Prime, pre-TOS ships with touch screens and monitors galore (NX-326 Franklin and NCC-0514 Kelvin). Even though DSC takes place 10 years before TOS, the Discovery and Shenzou's registries (1031 and 1227) are smack dab between the Kelvin and Connie; retaining older technology and design is plausible.
The way I see it, the tech in TOS is advanced in function despite being retro in appearance.