I don't know if this is what Matt means, but there's really no such technique as "parallel english" because you can't make shots with it. For the vast majority of sidespin shots the cue has to be angled across the shot line, not parallel with it, or the shot will miss because of squirt/swerve.
Some people say "parallel english" to mean they just apply sidespin by feel, without thinking about how the cue is angled. To them it might seem like it's parallel, but if they're making shots it mostly isn't.
Is the bridge hand on the shot line or beside it?
pj
chgo
"Pivot" should likely be "pivoted", but bridge hand on shot line, diagonal stroke
"Offset" bridge hand on shot line, straight stroke