Ah, I see. I think that still counts as work. If you've been saying "I've been off work" in interviews, that might not work, but it would be just as true to say "I've been working for my family."
Yes, I do say this. Obviously you can't just vaguely say "I've been working" -- they will ask exactly what "work" you have been doing, which is when I explain just the bare minimum details of my family situation necessary for an employer.
Most people interviewing me express a lot of compassion, say it's admirable to see someone sticking to help their family as I have, and then promptly reject me for not currently being employed.