They are, of course, going to find the most outlandish case they can.
Does not make a good news story to say "single mom of 3 struggles to make ends meet one benefits" now does it!
To be perfectly honest, things like this do not bother me, I do not see it as "my money" paying for her lifestyle. It is money I never see anyway!
Let her live her life as she sees fit, if you start to let stuff like this bother you, you end up with one huge headache, and it will not change anything. People will always cheat any system, or make such a choice, if that is how they choose to live their life. The only bad thing, is that it taints with the same brush, every other single person on benefits.