Government's role is to make the ideologically agnostic machine of business align with our values. In the kind of competitive economy we have, it can only be this way. If we try to apply politics from within a business, we risk introducing instabilities and ineffeciencies, making the business less competitive–an existential threat to the values we incorporated into the business.
No, the existence of controversy over an issue is a question of empirical fact, not political opinion.
The ascription of significance to the existence of controversy may be a political opinion (and is certainly a value-based opinion), but not the question of whether controversy exists.
Those complaining of being deplatformed would probably agree strongly with your definition, however, so I will admit the definition of this word is itself controversial. Or maybe I shouldn't, because the prior sentence feels very political to me.
Any. Controversial is a continuous-valued, not binary, attribute.
How controversial is enough to justify a particular reaction? That's a political judgement, and in practice has as much to do with where you stand on the controversy as how much controversy there is.