From what I gather Veronique cheque emploi is similar to PAYE in the UK. There are rules to be observed, presumably, limits to be applied. Then the social charges to pay on top of course, which is almost double. Then, if you are a taxpayer you can claim some of this back I understand. All sounds like a complete headache to me. Of course I haven't grown up with the system. Plus, they, the ordinary householder has to have an employers insurance as well.
When I ran a PAYE system for the people working for me in the UK I wouldn't call that simple. Much easier just to paye the individual and let them worry about their own tax liabilities as we do in the UK. Unless you are an Employer.
Which system would I prefer.......by far, the UK model.