I really have a problem with the language of "battle with the [insert disease]" because as you say it implies that if they'd only tried harder they'd survived.
There is a serious cultural problem with how we treat people and expect people to behave with chronic conditions.
For example, I have a chronic illness for which there is no cure or treatment. I have repeatedly received advice to the effect "have you tried [insert bullshit alternative medicine scam]"?".
I usually say I haven't, either because it's bullshit or repeatedly say "there is no treatment or cure", or I've had this for more than a decade and if there were a real cure it would have taken it already.
Their response is usually that I haven't tried hard enough, and I don't want to get well. Essentially it's my fault I'm sick.
In our society we just don't accept there are illnesses that can't be fixed.