I think this is an overstatement. I’ve had cats for 35 years and I’ve only ever come close to being tripped a couple of times. Never fallen. You just have to be aware.
Yes, I don’t have problems with tripping over my animals, and neither did my Dad, who is brain-injured and often uses a cane, when we lived together with three animals less than 20 lbs. It’s definately something you have to be aware of though - I’m mostly worried that I’ll hurt their bony little legs when I walk into them wearing shoes.