I pushed the DCs into university in the US because of the opportunity there to be educated as opposed to trained, and paradoxically because a really rigorous university education there makes you a versatile and highly desirable potential recruit, but I still made it clear nobody was to even think about doing a degree in English Lit or equivalent once they got in.
If I had a liberal arts-leaning student heading off to university and they were good enough to consider Oxbridge I would be pointing them in the direction of highly selective universities in the US too. It's a great way to hedge your bets, subject-wise, explore what you like and are perhaps suited for, and still end up very employable. DD1 started out as an architecture student but graduated in 2012 with a degree in economics. Along the way she learned Persian, did enough maths and science to allow her to consider taking the MCAT if she wasn't such a wuss about blood, and did enough fine arts courses to allow her to think about it as a minor. Plus philosophy, psychology and history and a stint studying abroad in France. At a highly selective US university, doing English Lit or history, etc., wouldn't knock you out of the running for an analyst job in finance/on Wall Street because you would have studied enough relevant subjects at a rigorous enough level to make your liberal arts major irrelevant in many cases, but I still advised DD1 to stick with the maths-heavy economics.
DS is on a track that will hopefully see him going to med school but he could equally apply to law school. DD2 is heading off all starry-eyed about a career in the US diplomatic service or on some political think tank and will probably go to law school upon graduation. If I am successful in my lobbying efforts she will concentrate on economics or even change direction into the maths and science area her brother is focusing on. I think this is her longest and strongest suit but she likes arguing, and getting paid for it would be her idea of bliss.
Since they are studying in the US their choices are made with repayment of US student debt in mind. Repayment is not linked to ability to pay and they will not be able to defer repayment indefinitely. As the wind blows in America it will eventually blow in the UK.
At the one end in the UK there are many former polys that would be perfectly fine as polys, fulfilling the absolutely essential mission polys had when they were initially conceived, and on the other you have universities offering degrees that are far too highly specialised, and a secondary education system that forces students to foreclose on vast areas of study and employment at an early age. The result is Oxford graduate with degrees in Classics starting careers in the Treasury with little or no exposure to maths since age 16 and probably none in economics. It's a pity anyone has to throw the dice so young in the UK, but I agree with Spero that since this is now necessary it has to be done very carefully.