DCEN, DC-, DC straight: All mean the stinger or tig torch are negative. They also mean the electricity is "flowing" from the stinger to the workpiece.
DCEP, DC+, DC reverse: Stinger or tig torch are positive.
In tig welding it is easy to see which "direction" current "flows" by how the tungsten reacts.
In DC+ the electricity flows into the tungsten - causing it to ball up and burn back.
As a result, greater depth of fusion (penetration) is in DC- and the tungsten can handle the current.
In stick, although the "flow" is the same, the result on depth of fusion is reversed.
"...there is a jet action and/or expansion of gases in the arc at the electrode tip.
This expansion causes the molten metal to be propelled with great speed across the arc.
The molten metal impacts the base metal with greater force.
This heavy impact on the base metal helps to produce deep, penetrating welds."
~Modern Welding 1997 Althouse, Turnquist, Bowditch, and Bowditch."
As far as I know, this is the current

theory on how this all works and what it all means.
None of my textbooks have it any other way.
As far as "on-line consensus" goes - a consensus is not of much value.