So this came up in a game yesterday. Can Dash use Outrider to strip off red or orange tokens?

Dash Rendar: While you move, you ignore obstacles.

Outrider: ... After you fully execute a maneuver, if you moved through or overlapped an obstacle, you may remove 1 of your red or orange tokens.

Dash's effect is while moving, and Outrider's effect triggers after you execute a maneuver so there is a small timing difference between the two, but since Dash is ignoring the obstacles while he moves it seems like Outrider's token removal would never trigger if it was equipped to Dash.

Along the same lines, Stunned Pilot would seem to also follow the same rules as Outrider

Stunned Pilot: After you execute a maneuver, if you moved through or overlapped an obstacle, suffer 1 hit damage.

I think the specific wording means Dash can use Outrider but would also be vulnerable to Stunned Pilot. Dash says "while you move" and I just checked and the RR for obstacles specifies that their base effect also goes off "while you move".

So DURING the move he disregards the negative effects. However that doesn't change the fact that he did in fact move through/overlap that obstacle. As such any effect that triggers AFTER you move still applies.

Now, one could argue that if we are ignoring the obstacle then the game in effect acts as if it isn't there so we shouldn't be able to reference it after the fact either. Strictly speaking there's no problem with that from a logic standpoint. However, I'm going to make a thematic argument (admittedly the least relevant kind possible) for saying that's not how it works. The character Dash Render is from Shadows of the Empire. He flies a YT-2400 model freighter named Outrider. Outrider IS Dash's ship. For Dash to not be able to use the ability of his own ship is completely nonsensical. It would be like Han not being able to use the Millennium Falcon title. Theme does not hold any rules weight. However, since there is a valid rules based argument to be made both ways I think erring on the side of "a character can use his own ship" is the obvious way to go and should any other similar questions involving timing and "ignore" arise we use Dash as precedent.

Per alex at euros, yes, you still moved through the rock, even if you ignored its effect. The wording is a little loose, but the intention is clear.