The direwolf executable on Linux can take streaming audio on STDIN (or UDP). So, if you can find a utility or combination of utilities that can control the LimeSDR and output demodulated audio to STDOUT (or to a UDP port) it should work just fine for monitoring.
Monitoring is easy, though. Can we make an SDR transmitter be heart of a digipeater or an Internet Gateway with this hardware? I think it's possible, but it may take some clever hacking.
There are Dire Wolf utilities that can generate audio for AX.25 frame data. Again, we need some app or some utilities that can take that audio and does something with it.
Linux virtual audio connections can mimic traditional TNC wires, making it possible to route audio in to rig control software. I don't know what sort of rig control is available on various platforms for this hardware, but it might be an opportunity to add supported hardware to a project like Quisk, for example.
HackRF has its own utility that can push a WAV file to a transmitter so it can be sent. Which might be a good test "sink" at least.