Not sure where you're from but if you're uninsured and cause an accident in France you're basically fucked. If you injure (yourself or someone else) or destroy public/private property you will have to cover it yourself. Many people end up paying hundred of euros per months for decades if not for their entire life.
In the US, we often has uninsured driver coverage. If the other driver has no insurance, our own insurance will cover us and then go after the other driver. But if they have no assets they are probably not worth going after as court cases cost money.
That sounds absolutely crazy. Nordic country. You may have to pay damages, but it would not be hundreds of euros for decades, that's just entirely unreasonable.
In Sweden that would be a real possibility if you do not have adequate insurance. Say that you cause 200 000 kr in property damage by wrecking someones car beyond repair. The owner or their insurance company can claim that money from you, and if you cannot pay in cash you are now in high interest dept where The Enforcement Authority (Kronofogden) can take money straight from you account on a monthly basis to pay off said debt. If you are a low wage earner you might never pay it off.
For any serious accident there will be an investigation to determine is the driver was meeting the insurance conditions. (did he have a valid license, did he take drugs/alcohol, was he on his phone, was the vehicle modified, &c.)