I doubt anyone at Paramount/CBS asked for this plaque to be made, that's usually up to the set designer.
Set design usually needs to be approved by the producers. And we have no idea if the producers told them that they wanted that info on the plaque. I find it quite odd that a set designer chose to add all that info to the plaque just on their own without someone telling them to do so.
Yeah they're the same, in the same manner that the TMP Enterprise refit was stated to be the exact same ship/hull that appeared on the screen in the Star Trek TV series 1966-69.
No, they're not the same. The TMP Enterprise was a refit of the TOS Enterprise. The DSC/SNW Enterprise was how the ship always looked. There was no refit of the Cage Enterprise to the DSC/SNW version, or a second refit from the DSC/SNW version to the regular TOS version, because DSC/SNW is a visual reboot, and has nothing to do with what happened between TOS and TMP. I'm not quite sure why people can't seem to grasp this concept, since that's what's been happening since DSC started.
There's also the fact that the first time we see Pike in command of the Enterprise 1701 in The Cage/ The Menagerie, he states the crew compliment is 203.
13 years later when Kirk is in command of the Enterprise, it's crew compliment is stated as 430.
So yeah we have Canon evidence that the original 1701 has gone through a number of refits since it was first launched; and they definitely appear to have affected its internal and external structure in major ways.
So no I don't get all the consternation about the hull of the ship getting larger or smaller depending on the design of a particular refit.
No, the crew compliment change happened with the TOS Enterprise. The complement went from 203 to 430 on a ship that stayed the exact same size, only with a new bridge module, balls added to the ends of the nacelles, and the spikes removed from the bussards. That was the extent of the 'refit.'