No it doesn't.
Nothing in DSC has matches the Connie's aesthetic, why would they not change it to match?
Using the exact TOS design would stand out like a sore thumb.
The USS Gagarin is closest to looking like a ship in TOS. It looks like a proto Connie. It's got thicker nacelle supports but if it's Nacelles were rounded like the TOS nacelles it would look right at home.