I've read (somewhere) that they will. I've got a 13 yr old cheap hybrid that has seen a lot of abuse on tours but mostly riding over curbs, etc...around town.
I'd like to go on another trip soon but would hate for that to happen.
I only weigh 155 lbs with 25 lbs of gear so maybe I have nothing to worry about.
All rims are aluminum anyway. Seems like this myth doesn't pass the laugh test.
I've got the original rims and rode this cheap bike across the country already.
It's probably just me dreaming about a new bike and I'm looking for an excuse.