They can call themselves whatever they want.
Heck, you’re doing it.
By their fruits ye shall know them...
Heck, I’m not doing it. Whenever you don’t have a core set of beliefs that define a sect of Christianity it lends itself to different interpretations including a progressive impulse. So that Evangelical Lutherans now have their own camps. The problem with La Haye is that his own rapture theory is beyond “nutty” to the point that “true” Evangelicals finds him an embarrassment. The same goes for prosperity gospel merchant, Joel Osteen. We saw how Rick Warren has gone too.