Do any trinitarian Protestant traditions teach that anyone who denies the Trinity is necessarily unsaved? The traditional understanding of the Trinity, "one God in three Persons," is a widespread belief within Christianity, but there are nonetheless many nontrinitarians who associate themselves with Christianity.

It's my understanding that the Trinity is an important doctrine for most of Protestantism.  My question, however, is if acceptance of it is always considered absolutely necessary to be saved.

Are there any trinitarian Protestant traditions that explicitly teach that anyone who denies the doctrine of the Trinity is necessarily unsaved?

Note that I'm not looking for a tradition that won't let you become a member of their church if you are nontrinitarian.  I'm looking for one that says you are necessarily unsaved if you are nontrinitarian.  If such a tradition exists, which nontrinitarian beliefs (modalism, tritheism, etc.) are damning?
It's easy to find individuals who deny salvation to non-Trinitarians:



  
    Are Non-Trinitarians saved?
    
    I always wondered this since they deny the true nature of God. Jehovahs witnesses and Mormons do not have the same Christ as the Bible but only God can judge.
  
  
  No.
  
  Anyone denying The Creator as He has revealed Himself, Triune, will suffer the second death. source


  So how can you be a non-Trinitarian and a Christian? In short, you can't. source



I have also found rhetoric by Unitarians who claim that Trinitarians deny them salvation:


  According to orthodox Trinitarian doctrine, if a person claims to be a Christian but does not believe in the Trinity, he is not saved. source


Christian Research Institute president, Hank Hanegraaff, has made statements to the effect that non-Trinitarians are "non-Christians" (and therefore unsaved):


  It would be inappropriate to argue that Jehovah’s Witnesses or various other groups are non-Christian because they deny the doctrine of the Trinity, but that the United Pentecostal Church can reject the Trinity and still be considered Christian. source


While neither CRI nor Hank Hanegraaff represent any official denomination, they are both very popular among Evangelical Christians (Hank hosts a popular call-in radio program where callers can ask questions about Christianity, and is the author of several popular books).

TLDR I have yet to find an official denominational view that non-Trinitarians are unsaved, but there is clearly deep sentiment among many Christians that non-Trinitarians are unsaved.

And if I may add my own observation: Among Evangelicals who would not take a hard-line stance that non-Trinitarians are not saved, likely a significant number would at least say that non-Trinitarians are unlikely to be saved. That is to say, that in theory, a non-Trinitarian could be saved, but any honest non-Trinitarian who is saved would soon realize the "truth" and become a Trinitarian.