Nope. Memory that is indirectly allocated via FFI is not normally[0] accounted for by GC memory pressure and so it should be managed explicitly, not using finalizers. That memory is invisible to the GC. It won't know to collect it. It won't know when the foreign heap has allocated too much, and it won't know to run a more expensive GC collection to try harder when foreign space gets tight.
(If you have a relatively infinite amount of RAM, or your FFI object sizes are a constant factor of the size of their GC world counterparts and you account for this in your GC max heap size, you may get away with it. But these constraints aren't typical.)
> That can often be non-trivial to figure out when to call close() on it exactly, and by the time you've written such a system you've just re-invented manual reference counting (error prone) or a garbage collector of some sort anyway, and should have just used a finalizer.
You're right that it can be hard to figure these things out. But figure them out you must, for any long-lived program using scarce resources, or you're just creating a problem for the future.
Working these things out is not actually rocket science. It's what we did in the days before GC, and it was actually tedious more than difficult, because the best way to do it meant dogmatically following certain idioms when programming, being rigorous in your error handling and consciously aware of ownership semantics as data flowed around the program.
We even developed a bunch of strategies to make it simpler, e.g. arena allocation and stack marker allocation. You can adapt these approaches for deterministic resource disposal in GC environments too (e.g. keep a list of things to dispose, or markers on a stack of things to dispose).
The biggest wins from GC are from two effects: memory safety and expression-oriented programming. Memory safety means you never get dangling pointers or dynamic type errors from reused memory, a major increase in reliability, as well as making certain types of lock-free programming much easier. Expression-oriented programming means you can safely and easily write functions that take complex values and return complex values without thinking too hard about the ownership of these complex values. This in turn lets you program in a functional style that is much harder without GC.
What GC doesn't give you is a world free of non-functional requirements. You still need to know about memory allocation of your big algorithms and program overall; you need to know where big object graphs get rooted for longer periods of time before dying (the middle age problem[1]), and you need to track the ownership of your resources rigorously, or you will run into resource exhaustion and non-deterministic failure modes - some of the worst kinds of failures.
[0] https://docs.microsoft.com/en-us/dotnet/api/system.gc.addmem...
[1] https://blogs.msdn.microsoft.com/ricom/2003/12/04/mid-life-c...