That would only be if the show did flashbacks to the Romulan War. The destruction of Salem Station was what started the Romulan War iirc.The most recent Sci-Finatics video on the subject discussed the depiction of the attack on Salem Station 4, which is a big historical event in the Trek universe (that I really couldn't remember, but was mentioned several times in the Berman era).
There would no doubt be plenty of times the war could be mentioned but a war that ended 25 years before the show began might not be the most relevant to the plot in an organic way.
Romulans being all sneaky like in the background is an easy plot device but nothing too overt.