I think it's fair to say that, in object-oriented design, the fields/attributes/properties/member variables of a class are a common pool of variables shared by subroutines/methods.

I'd look at it differently - while of course the subs are part of the class and technically all objects of the class share them, each object is a separate entity, so I'd look at it as each object having its own copy of the instance variables - or in Perl, really just one variable, typically referred to as $self. I would not expect to see any variables declared outside of the subs of the class, perhaps the only exception being default settings like I showed here.

(The concept of Inside Out objects also exists, but I practically never see that in the wild and personally wouldn't suggest it.)