Big City Lib asks the question (I'm paraphrasing), "Does the recent drop in gasoline prices (over the last 3 weeks) make the Green Shift an easier sell?" in this blog post:
BigCityLib Strikes Back: High Gas Prices As A Natural Carbon Tax, Part Whatever
I think the answer might be very slightly yes. There is a concept from behavioural finance called "anchoring". When gas prices went up over the last few years, people felt that prices were too high because they were used to lower prices in the past, and did not take into consideration how the supply and demand for oil has changed in the past decade.
Now that prices have fallen somewhat, people may feel that gasoline is relatively cheap. Gas prices may not make the news headlines until a new high is reached. A tax on non-gasoline fossil fuels may be more palatable (in combination with the Green Shift's tax cuts)
Of course gas prices are not the full story, especially as the Green Shift proposal does not increase the federal tax on gasoline, consumer electricity and natural gas prices are regulated (and so don't follow global energy prices in the short term), and there hasn't been a winter heating season since the spike in oil prices in the spring and early summer.
Nevertheless, the economic focus of the average consumer might now be on whether or not there is a recession coming, and not so much the price of energy. For that reason the tax cuts and credits of the Green Shift might be appealing to some voters. This is just a suspicion of mine, not a claim of fact.