How were those scenes supposed to have a NX-01 model in them? The show Enterprise had not yet been thought of by the writers. It's like when people bitch about how Scotty (in "Relics") said something about Kirk coming to rescue him while Scotty witnessed Kirk's death in Generations. There is no nitpick, because GENERATIONS HAD NOT BEEN WRITTEN WHEN THAT EPISODE TOOK PLACE. So you can't blame the writers of "Relics" for not being prescient about a film that had yet to be written, and neither can you blame the writers of ST:TNG and its films for not having a model of a ship from a series that also had not yet been written.
And that was one of the big reasons why I hated the Enterprise prequel idea. Oh, sure, I can nit pick Scotty's line in Relics. I can also rationalize it. Easy to do since it's only one little line.
Enterprise, on the other hand, was a FOUR YEAR LONG SERIES! Kinda hard to ignore that.
I knew from the moment it was announced there would be trouble. Star Trek wasn't like Star Wars. As much as I have problems with EP 1-3 I do know that Lucas had a lot of stuff in mind about that time period BEFORE making EP 4-6. Plus, he had 20 years to think about things.
Star Trek, on the other hand, was different. I knew they would stumble through it without much thought. I knew it'd be too difficult to make a prequel series and not contradict TOS, TNG, DS9 and VOY. I knew this because the subsequent series after TNG kept messing with continuity somewhere along the way. The very existance of the NX-01 was, for me, enough of a contradiction.
But what do you do? I watched every episode of ENT. It was what it was.