Speed is more important.

Gregg didn't notice that his undergarments were caught and torn apart by thorns on the ground when he fell.

Save for his boots, Gregg was running through the forest entirely naked. After maybe five minutes of sprinting, and eight minutes of jogging, Gregg made it out of the forest. He felt better now that he was out, taking a moment to catch his breath. Completely unaware that he was basically naked for anyone to see!

The forest wasn't often visited, but the entrance could be seen from town! And he would remain visible from town as he walked home!