It shouldn't. When the fusible link is working, it behaves just like any other wire. If too much current passes through it, the fusible part melts and the conductor separates, breaking the connection and stopping the flow of electricity.With confirmation my new battery is dead and wouldn't accept a charge, and im about to put a new battery in here- is me deleting the fuseable link going to be an issue in diagnosis if it doesn't just start up?
But as you probably know, if you have an over-current situation and have removed the "fuse," something else is going to melt or burn and that something will allow a lot more current through, which could start a fire.