They used a very distinct looking ship that was used as a Disco era ship on this very same season of Short Treks. It is pretty absurd if they assumed that people wouldn't notice and make that connection. You really don't need to be a starship wonk to notice it, you merely need to have some basic shape recognition skills. I really don't understand how people who do not see these things can even follow Star Trek. Do you get confused in the Original films because you cannot tell Enterprise and Excelsior apart?
Did you get confused that you might be watching a TOS movie when you see an Excelsior show up on the screen (Because they show up a lot in next century Berman era eps.