My understanding of why these Muslims require their women to have guardians is not for their women's protection, but it is because they do not trust their women to conduct themselves properly if left alone and without male supervision.
How horrible that system is. A Texas co-worker of mine years ago worked in Saudi, and when his wife visited, he warned her in advance that when they met at the airport after six months of separation, not to hug him or anything. There were watchers at the airport with their sticks. She rushed forward and raised her arms - and so did one of the watchers raise a stick. Luckily she remembered in time!
Someone is cruisin' for a bruisin'