Responsibility, and freedom, are variable of course, and it is for Society to decide what their parameters are. As long as 'cancelling' and similar nonsenenses remain what they are, pointless attention-seeking stpudidities, given far more attention than they could ever legitimately justify by a bored and lazy media, then we need not worry.
The downside of enjoying the priceless concept of free speech means that it will always be abused by self-aggrandaising numpties, but they always have been, and always will be, a minor irritant, whose overall influence and effect is always directly inversely proportionate to what they think they deserve.