That's an odd interpretation of purity. As per the article:
> A pure function only looks at the parameters passed in to it, and all it does is return one or more computed values based on the parameters... It doesn’t maintain internal state... Ideally, it isn’t passed any extraneous data
If you send in an entire object state as an argument (or as an attached instance, as you argue), this is not a quintessence of functional purity and strays far from these concepts. Consider: your object can have all sorts of data in it that you are passing to every member function, and it is unlikely all that state needs to be used in every function -- as the article points out, this defeats the purpose as it's akin to passing in a big pointer to a bunch of state.
In a pure function, it accepts only the specific data it needs, nothing else or extraneous, and returns a value based on these specific inputs.
As I mentioned in another comment, you could say for a particular type that since it only has one data member, no harm done -- but in the general sense, most objects have more than one piece of data, and not every function needs every piece of data, so passing all that in is a sloppy approach to purity.