Not highly profitable without assuming too much risk, but yes, 1.0 is profitable.
But let’s say the LTC underwriters can pay out 10% more and stay in business. That would mean that in The OP’s “scam” scenario situation, instead of getting, say, $100,000 in benefits over two years, they could get $110,000. However, the inflamed wording suggests OP wants a lot more than his relative is getting, not a little bit more, like $300,000 over four years. That wouldn’t be possible to do in aggregate without charging a higher premium.
But let’s say the LTC underwriters can pay out 10% more and stay in business. That would mean that in The OP’s “scam” scenario situation, instead of getting, say, $100,000 in benefits over two years, they could get $110,000. However, the inflamed wording suggests OP wants a lot more than his relative is getting, not a little bit more, like $300,000 over four years. That wouldn’t be possible to do in aggregate without charging a higher premium.