Skyhooks are somewhat different than Jack's Beanstalk, although they are analogous to a degree.
Jack didn't climb out of his gravity well.
Jack didn't bring a spacesuit, oxygen, or meals for the trip.
Jack didn't bring toilet paper for, uh ... never mind.
Jack didn't have to turn over halfway up.
Generally speaking, these devices are like really long railway viaducts. They're built for the passage of trains and nothing else. They just go upwards.
How can I trust you when you spiked my champagne the last time?
Before that, you glued my furs together so I had to run to the biffy in the buff!
And the worst thing you ever did was put Ex-Lax in the box of Godiva chocolates you gave me.
:o[