The question is whether there exist alternative solutions that help the poor a lot more by not wasting so much helping the rich (or especially in this case - those buying and selling fossil fuels, industries we'd prefer to be slowing down rather than encouraging with tax breaks).
Eg if the same money "spent" on this tax break had instead been a invested in raising the minimum income tax ceiling, benefits, and pensions (by equivalent amounts), it would presumably have gotten more money into the pockets of those most hurt by fuel inflation, which was the claimed goal of the change, but done less to benefit the fossil fuel industry and those who don't really need tax breaks.
Or to go more extreme you could add an untaxed fuel ration (there is a shortage after all), paid for by higher taxes on extreme usage, thus reducing overuse and increasing affordability at the same time. But that's practically communism, so can't possibly be done (to be fair, it'd be very expensive to implement, so not sure it's a serious suggestion).