I find it travels rather well. When playing a new course I find myself playing just a bit more conservatively. More 3w’s off the tee and middle of the green approaches.
I find the more comfortable I become with a course the more risks I take. Usually resulting in higher scores the 2nd, 3rd time around.
I always play better on courses once I've played them a couple times. I feel better after I've found lines off the tee, where are the best areas to miss, etc... Bottom line my handicap does not travel well at new courses.