This summary is not the rule. The rule text controls.
Louisiana law gives defendants a few different ways to challenge a lawsuit early on, and each one does something different.
A declinatory exception argues that the court isn't the right place to hear the case, maybe because of location or jurisdiction problems. This doesn't kill the lawsuit, it just says it needs to be handled somewhere else or in a different way.
A dilatory exception slows the case down. Maybe there's a problem with how the lawsuit was filed or some procedural issue that needs to be fixed first. This doesn't end the case either. It just causes delay until the issue gets sorted out.
A peremptory exception is more serious. This one argues that the plaintiff's case is legally dead on arrival, either because it never had a valid legal basis or because some law or time limit now bars it (like a case filed too late). If a judge agrees with this type of exception, the lawsuit gets dismissed for good. This is the only one of the three that can actually end the case.