The issue with this would be how regular the CO2 supply is. There is no reason why you can't do it , as such (although I'd be more careful to put a proper airlock between the 2 containers, you really don't want scrumpy in your tank, nor do you want tank water syphoning back into your scrumpy).
The problem, to which you may or may not like the solution, is that home brew tends to produce lots of gas at once, then taper off to quite a low level, as I'm sure you've noticed.
The solution is to have several home brew batches running at intervals, piped into the system, so that the output of the faster ones is matched with the slowing down systems, which are replaced as they reach racking off. Of course, this may leave you with too much CO2 for your tank, but it'll keep things fairly regular, and the supplies very good.
The other problem is with any blockages in the system, back pressure in the CO2 system will adversely affect the home brew, but with multiple sources the pressure should be spread out nicely, just watch out for blocked diffusers backing up the system.