TOS's aesthetic can be updated without it looking "cheap." I've seen a few fan renders that update it nicely without throwing it all away. Even ST09 payed homage to TOS's Enterprise bridge with the Kelvin's bridge. And even the Kelvin was a nice modernization of the TOS ship aesthetic.
Absolutely. Abrams got the look of the Kelvin universe absolutely right: A modern take on the original TOS aesthetic. It shows that something like that can be taken seriously. DSC season 1 went a different route: they sacrificed the TOS aesthetic completely for a more 21st-century idea of what the 23rd would look like. And honestly, there's absolutely nothing wrong with that, except for the fact that they claim it takes place ten years before TOS, which was what they were trying to get away from. That's not very logical, unless there was another reason why they would state this (ahem, more subscribers to CBSAA, ahem.)