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You can still use the old drivers they work fine. This also isn't unique to Linux, Nvidia's latest Windows drivers also don't support 10 series cards anymore.
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Unless the old drivers have security issues, then you're stuck with the nouveau driver which sometimes only has very basic support for some GPUs.
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Is this the case for any hardware or are we discussing a purely hypothetical?
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I have an old laptop with a GT 240M that's stuck in such a situation.
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NVidia supports their GPUs for a really long time (unlike AMD, which paradoxically drops official support really fast; e.g. see their ROCm support). Anyway, by the time NVidia drops support for their current newer GPUs there's a high chance that NVK[1] will be ready for general use.

[1] -- https://docs.mesa3d.org/drivers/nvk.html

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