If the TSA was pulling bags with lithium batteries, every bag with an Apple AirTag would be getting pulled.
When my girlfriend and I went to Iceland in 2021, my golf clubs with a rangefinder in the bag made it but her bag got left behind. It’s random.
That being said, golf bags are oversized and get handled differently. Since they probably don’t go through the automated baggage handlers, they can. Easily be put aside and missed.
In 2019, I officiated at the second Korn Ferry tournament of the season in the Bahamas. The Monday afterward, many of the players and I were on a small commercial flight to Miami where they had qualifiers for future events. Since the plane wasn’t big, about half the golf clubs got left off the flight. Needless to say there were a lot of very unhappy players.