It's a regressive move. The poorer someone is, the less likely they are to own a car and be able to drive. So it isn't helping people who need it.
Worse, there's no guarantee consumers will get ten cents off at the pump, since the sellers could just raise prices.
And, it's encouraging fossil fuel use as the climate crisis is getting worse.
A better solution is to help people who need it directly. Up the GST tax credit, or offer a one-time cheque to low income households. That directly helps people who need it. Folks who make more still feel the pain, so they have incentives to change their behaviour.