How is "cancel culture" a lack of charity to other people's souls? How is it that largely powerless individuals who choose to embargo, sanction or ignore the powerful is cast as a "lack of charity" or a paucity of mercy? It is a backlash against the largely impersonal powers that hold sway over us; the bland and ubiquitous media, corrupt political powers, and empty-headed celebrity culture that fails to live up to the standards it expects in everyone else.
Merely because Fox News has given it a catchy title, does not mean it is new, unwelcome or a degradation in standards - it just means that the rich and powerful are afraid of it.
As for the “rich and powerful”, do you mean high school kids making inappropriate jokes that become national news stories, blue collar guys being fired for not being up-to-speed on 2020 cosmopolitan sensibilities, or anyone who says a single negative thing about BLM riots?
By linking the public disapprobation of people who make statements (such as that scooter-driving gentleman in Florida who yelled "White Power" or the angry young schoolboy who decided to stare down a native American who would dare to try to defuse his incipient argument with some agitators) with companies who are being boycotted for actively funding anti-LGBTQ lobbying groups (for instance) is an attempt by politicians, companies and media groups to apply a chilling effect to speech. People should be able to boycott those companies who attempt to impact their lives; celebrities are not owed our respect, nor politicians the money they steal from public coffers.
That is not cancel culture. That is something else. Cancel culture, by definition, requires something that can be cancelled. Equivocating the two issues is an attempt to make public figures, organisations, etc less accountable.