Yes, exactly. The caster casts dimension door and appears 400 feet away.Yep, that is another tool. Plot armor is huge for more mundane heros. Lots of games do this with metacurrency and have a lot less problems putting Black Widow and Thor in the same adventure this way.
If they gave true narrative control then they would be a bit of departure from traditional D&D but I'd be game.
For instance, you could have an ability that gave the dimension door like effect without disappearing and reappearing. So you can basically guaruntee moving from point A to point B through normal action hero moves because the enviroment will narratively shape itself to allow you do that with the meta currency -- the vine rips off in just the right way, the dragon flies past and you just off it's back to another platform, etc etc
The fighter, using some kind of established metacurrency, cashes it in and conveniently finds a zipline to get from A to B or a perfectly placed awning that allows him to jump down 400 feet without taking damage etc. (for a great take on this going hilariously wrong watch The Other Guys - great fake out re: action hero plot armor!).
This can be upped at higher level. The caster casts teleport and gets somewhere 1000 miles away immediately. the fighter, again cashing in some metacurrency, conveniently finds a passing airship, roc. dragon and also gets to where he needs to go "instantaneously enough."
Now the real issue with the 2 above examples. They take the fighter from having to "mother may I" the DM or the DM without input having to provide a means for the fighter to get from point A to point B - to allowing the fighter's player to control the game enough to force the issue - in other words narrative control.
I'm curious, would those that argue that spells like teleport are simply plot short cuts that the DM would provide for anyway - and thus don't actually change the game that much (such as @TheSword ) be up for allowing the fighter to pull the same stunt (in a non-magic way) without having to mother may I or otherwise rely on the DM?