Yeah, #4 is false. The only case in current content where speed manages to make up for weapon DPS is the Sword of Justice, which is slow enough to put it on par with the Colossal Skull-Clad Cleaver (but still behind all the other ilevel 200 epic weapons). All ilevel 200 epics are inferior to all ilevel 213s, and the one ilevel 226 is best in slot, despite being very much on the fast side (3.4). Finally, it's not top end, but "average" that matters, and the two while correlated are not always the same.
As a general rule of thumb, DPS is far more important than speed.
I also find #7 pretty questionable. The current best-in-slot trinkets happen not to have on use effects, but there's nothing inherent in on use effects that makes them inferior, that's just how the itemization turned out for this tier.
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