Not twice as far away, merely the same distance they started with - but they would have doubled the length of their overall trip. No point in doing that.
A map with inverted Alpha and Beta Quadrants? Where? Intriguing...
Apparently they never did reach the border of Beta; the onscreen maps and the distance references nicely allow for that.
Nah, they'd be almost twice as far away as when they started. The Gamma Quadrant Wormhole entrance is near the top of the Gamma Quadrant, so they'd have to traverse almost 100% of Gamma, and then almost all of Alpha to get to Federation Space (Or going the other way, they'd have to go through all of Delta and most of Beta, plus backtrack the trip through Gamma).
One Day I hope to be the Man my Cat thinks I am
Where are we going? And why are we in this Handbasket?