Those who have oil-fired heaters will have a check for 75 euros and those who have to use their car to go to work will receive compensation.
A bit of an effort to use an all-or-nothing flat-rate system, there will surely be complaints about the criteria but hey if it helps to keep (without sudden shocks) a high energy price (therefore dissuasive), why not.
The flat-rate aspect makes it possible to penalize those who have cars or houses that consume more but do not benefit those who have a more ecological heating system and not fuel oil.