This is a cool idea. A first step before first party integration into a piano roll could be a vst with midi output. I know this can be done because of plugins like Xfer's Cthulu. I'd pay for that!
Yeah it would be cool to make a VST version, a few people have asked for that. In the meantime it is possible to ouptut midi from LudoTune in the browser and connect it to a DAW via a virtual midi device.