France provides healthcare and education. It doesn't guarantee food, shelter, or power. Of course there are relief programs in place if you are without, but there is a substantial difference - as can be seen in any countries welfare programs - between "everyone gets this for free all the time" and "apply and qualify for this limited offer program only if you really need it and we think you do".
The equivalent of the NHS and public education for the later three would be things like widely available public housing with short enrollment periods, maybe even "public" hotels you can stay at. Public food kitchens without needs requirements - just free meals provided by the city if you want them. Free groceries, up to a threshold, per person - something like "food stamps for all". Same with electricity, you could have a "free" amount every month for what the minimum a person should have would be.
Of course when you talk about it all like that you eventually just get to UBI as a means to accomplish all those without the bureaucracy. But as long as France only guarantees a portion of the bottom rung of the hierarchy of needs there will be discontent amongst those who cannot fulfill the rest through the market economy.