I doubt that this so called solution to eth gas fee will be put to work in the end, ethereum mining algorithm has a big role to play in the life of ethereum project, getting rid of miners will end up hurting the project itself, instead the team should focus on better solution that won't hurt the miners and will also make transaction cheap for adopters
This is really a good proposal from @econoar and you are right it may hurt the miners since this proposal may mostly burn eth fees and not rewarding for miners but it will most likely reduced gas fees as what I read about eip 1559, actually this is all we are waiting for to all defi and eth lovers once implemented, Its really disgusting how high eth fees right now I hope it will be implemented very soon.