I think I’ve read posts where people have squeezed a 165 into the HK, but it was extremely tight - so tight that you couldn’t just assume it would be fine in your saw because it fit in someone else’s.
And if you have the cordless HKC then the kerf increase might seriously affect battery life, not to mention potentially eating your tracks splinter strip. And who knows what the extra load might do to the motor and electronics, regardless of whether it’s corded or cordless.
Honestly, I don’t really see the benefit. Are compatible blades hard to come by over there?