There are no user settings on the Linky that can be adjusted.
Unless faulty the Linky will only cut the power if told to by an instruction from your energy supplier (or rather, ENEDIS under the instructions of your energy supplier).
What will trip out in the event of either overload or a fault greater than 500mA is the main disjoncteur de branchement (DJB) which can only be reset manually.
A DJB will often trip due to local electrical storm activity.
I assume that’s the main breaker inside the linky. It’s that that trips. It doesn’t always do it for a power cut, but does sometimes which is a pain as I have to know the power has returned and then reset it. Next time we have a power cut, I’ll see if it trips when the power cuts or when it returns. It is very sensitive to tripping due to nearby electrical storms whereas my neighbour says it never trips for him.
A Linky only trips out if you exceed the puissance souscrite i.e. if you exceed the maximum load you are paying for. It does not trip out due to fault conditions - that’s the job of the disjoncteur de branchement, which is a fancy disjoncteur différentiel (RCBO).
It’s the disjoncteur de branchement inside the Linky housing, outside at the end of my front garden that trips rather than the linky itself. I assume that is what you are referring to. I also have a second disjoncteur de branchement inside the house in my tableau. The Linky itself has never tripped. Is it normal to have two separate disjoncteur ?
I’ve come across private disjoncteurs de branchement used as local isolation inside a house if the main/proper one is away at the boundary, or in an outbuilding.
They are unnecessary in such a location as a simple interrupteur sectionneur is all that is required to provide the obligatory master switch in/adjacent to the main tableau.