Well, really it depends on the mechanic used.
For forced movement (so, pulls, pushes & slides) the rules for forced movement specifically (see pp. 210 & 211 of the Rules Compendium) require that the "square of origin" have line of effect to each square of the forced movement. Unless the power or some other rule says otherwise the square of origin is the "caster". For example, an area burst power would draw LoE from the center square of the burst. Few forced movement powers have such language (the only ones that come to mind are zones that pull things towards their middle, like the Visions of Avarice power).
The power might also grant a move of some sort, typically as a free action - this is how most warlord powers work. For such powers, one only needs to meet the LOE/LOS requirements (if any) for the original power - the "caster" doesn't need LOE to the squares the target then moves into. All of the examples you gave fall into the "granted movement" category.
Asides for LOE for the move, the major difference is triggering opportunity attacks - forced movement doesn't trigger opportunity attacks, but granted movement can.
Powers against enemies tend to use the forced movement method, and those "cast" on allies tend to use the granted movement method. The exceptions tend to be charm and fear powers - there doesn't seem to be much/any consistency in how they work.