u/Confu51on

I recently got MWII on ps4 and when I installed, it instead displayed as Call of Duty. I then had to install modern warfare separately. Is it possible to launch mw now if I uninstalled Call of Duty? In the menu, it displays that the inserted disc is for cod and not mw, and the store display mw as an add on for cod. I'm trying to free some space on my disc, hence my question. I know I could try deleting it and then reinstall if it doesn't work, but it took a total of 18 hours for everything to install, so I was wondering if anyone had the same issue.