I was reading on the hamilton watch website that contact with magnetic fields from speakers or electronic devices and airport security can pose an issue.
Which airport security devices are you referring to? The x-ray and millimeter wave scanners at airport security generate electromagnetic radiation, which do not magnetize objects.
I believe the risk is negligible. Been through airports multiple times with watches from 1936 to 2013 and never experienced anything.
Same experience for me. I've passed through airport security many times with hundreds of early "non" anti-magnetic watches and none of them ended up magnetized. By the way, magnetism won't ruin a watch as the thread title ponders... the magnetism is easily reversible.
I've gone through airport security with my Hamilton Khaki multiple times with no issues. It gets passed through the X-ray machine in a tray with my belt, shoes, cell phone, and laptop. Even the metal detector won't magnetize it, although if you take it through the airport metal detector it will make the alarm go off. I tried that once.
My Connies have been cumulatively 'subjected' to around 300 scans over the past 3 years. Not a problem with any of them so I don't think it's something you have to worry about.
If it was a huge issue you would hear of all kinds of things happening to computers/electronics. I'd wager if the fields were strong enough to magnetize a watch it would be strong enough to flip bits/erase magnetic storage. That would certainly have people screaming.