And going to a 'single payer' model would also reduce jobs. And the whole "they want to get rid of your insurance and raise your taxes!".
Well, the taxes would be raised, but almost certainly to a smaller extent than the price of the insurance policy you pay for. A middle of the road health insurance policy for me right now is around $1k/month. Whether I pay for it, or an employer offsets some of it - it's beside the point. That's $12k/year that is effectively a 'health tax', it's just not called a 'tax'. Somehow, weirdly, we use the term 'benefit', without with I may more easily and quickly die or languish in pain. Some benefit ;)
But yes... if my taxes go up by $10k year, but I don't have to pay for a health insurance policy... I'm still ahead. If I pay for it all, and the employer is out of the loop, it'll feel 'wrong' to many employed folks, but the employer will have more money - they should either pay people more, or hire more people (who used to work in private insurance companies).