You could, but if you're doing that, it would be far easier to just build your own device that does what you want and nothing else. You can put together a ZeroPhone or something for about the same complexity as a network proxy device that might have to do things with group texts to make them look valid to an ancient device.
And then you're carrying an ancient device plus another proxy. At some point, it's easier to just buy a halfway recent flip phone and use it until it dies.
Technically possible, sure. Practical, I don't think nearly as much.
Plus, if you're actually rebroadcasting an old signal over the air, then the FCC gets involved. And that's an entire new can of worms.
And then you're carrying an ancient device plus another proxy. At some point, it's easier to just buy a halfway recent flip phone and use it until it dies.
Technically possible, sure. Practical, I don't think nearly as much.
Plus, if you're actually rebroadcasting an old signal over the air, then the FCC gets involved. And that's an entire new can of worms.