To further this point, if one tries to think and reason out God's sovereignty combined with an eternal hell - what one ends up with is Calvinism. And the Calvinists really believe in some scary twisted things.
At least the Arminians don't think about it too much so they can keep the image of a loving God in their mind.
You know, that really shows how when you add just a little leavening of false doctrine, it leavens the whole lump. That is why doctrine really is important. Some UR folks get it into their minds that doctrine doesn't matter, but look how it enslaves people.
Doctrine ABSOLUTELY matters.
Like you said, there are some in the UR camp that don't believe this, which is part of the reason that there is this ideology within those that disagree with UR that we believe that sin doesn't matter (so do whatever you want), all are saved (so preaching the Gospel isn't necessary), and everyone eventually gets there (so it doesn't matter what we do in this life). If we are to shed this misconception, we need to present the ideology from a doctrinal standpoint first, and then present the glorious outcome after that foundation has been set. Then, and only then, will those raised with orthodox thought begin to take what we have to say seriously.