Full disclosure: I live in Dracut and have no involvement or affiliations with any Lowell High School group, nor do I care where a new Lowell High is built. But I do find the institution's history fascinating, thus I like to look through The Sun's archives for any historical data on the building and school I can find.
In this article from December 1973, the School Committee threatened to close LHS unless several dozen fire and safety violations were corrected. In a motion by Clement G. McDonough, the board also agreed the City Council would be held personally responsible if a tragedy at the high school occurred.
Although not as big an issue as where to build a new high school, it seems, historically, that there has been tension between the two boards.