It's not 'exactly that.'
Nobody gets cheques in the mail for it. When BC introduced its RNCT, the BC Liberals[1] sent exactly one set of cheques out, once - while burying the revenue-neutral revenues in an abstract, unmeasurable corporate and income tax cut. Rob the poor to pay the rich sort of stuff.
On the bright side, it also reduced gas usage by ~20% in 10 years[2], compared to the rest of the country, which is about ~20% more of a reduction then all the useless self-congratulatory hand-wringing about the plight of the poor has ever accomplished. [3]
[1] For foreign readers - the BC Liberals are liberal-in-name only. They are the mainstream conservative party of British Columbia, and have close ties to the Federal Conservative Party of Canada.
[2] https://en.wikipedia.org/wiki/British_Columbia_carbon_tax
[3] If we're going to put the brakes on any climate-disaster-related initiative, because someone, somewhere is going to be worse off for it, you may as well shoot me now. Someone, somewhere is always going to be worse off with every policy decision. We'll all be worse off if we keep wasting time, instead of acting.