If you're flying to play some golf, you use a golf travel bag and check-in you bag. You have your clubs, GPS, golf balls, shoes, umbrella possibly, tees, and other golf paraphernalia. If you have room, you might put in a pair of tennis shoes and other items to fill your bag.
If you put in non-golf shoes though, you'll be breaking airline rules about what can be in a golf bag. You can only have one pair of golf shoes apparently. And, if you won a driver and now have 15 clubs in your golf bag, that's also breaking the rules. So much for winning... I suppose you'd need to send the club home separately or be charged extra by the airline.
Let's hope most agents don't check our golf bags so carefully. It's sure getting difficult to fly unfortunately.