> If it's even possible, such a wiring configuration seems like an obvious building code safety violation.
Norm in every house I've lived in in the US (except one so old it had knob-and-tube wiring... hahaha) is one GFCI for a set of outlets. Like, if you have a long vanity in a largish bathroom, you might end up with two or three outlets, one GFCI, the others following after it so they trip it, too. The only times I've seen a single one used with nothing hanging off it is when it's the only outlet in the room, or for under-sink outlets for dishwashers and disposals to plug into. This can turn into a real mess if anyone got "creative" with wiring at any point. We've had a garage GFCI kill a couple outlets in the house proper (in a nearby laundry room, not super distant), plus an outdoor outlet probably 30 feet away, all of which were evidently attached to it.
What OP is saying is that one of those downstream outlets can trip the GFCI and if you don't know which GFCI it tripped, then you have to go looking.
For instance, here is an 'Eaton' 3 phase breaker with integrated ground fault protection circuitry:
https://www.omnical.co/products/eaton/1742431/2259595
Note the little yellow 'test' button. That's a 30 mA fault current device, you can have higher permissible fault currents for certain gear that tends to be a bit more leaky which would otherwise cause nuisance trips. These little things are quite the work of art inside, if you ever have a faulty one I would encourage you to pick it apart to see what makes it tick.
GFCIs protect against current leaking to ground, by detecting if the current flowing on a hot and neutral leg are different. If they're different, the current must be going somewhere else: to ground, through you, etc. The GFCI breakers do this in the breaker, the outlets do it at the outlet. As someone else mentioned, you can also have other non-GFCI outlets chained to a GFCI outlet, so that upstream outlet is the one that pops if there's a fault.
TL;DR they detect and protect against different fault conditions.
In any case, new houses must use arc fault breakers which do the same thing and more for most things.
I would add that big motors will trip these every time, so they aren’t usable for every circuit.
For example:
https://cdn.vox-cdn.com/thumbor/oGJ0LxRFZ9FNcRtpABAlXPnUApM=...
Edit 1: If you're in Europe, my apologies - I have no experience with the wiring outside of the US. It sounds genuinely annoying and a bad user experience indeed.
Edit 2: Thank you all for your replies!