This is a hugely contentious account of what fairness is, both in general and in the context of a game. If one of the principle features of the gameplay, for instance, is determining the outcome of player "moves" by reference to player resources (taking the form of modifiers written on a piece of paper) I'm not at all persuaded that giving everyone the same opportunity to have big or small modifiers is fair.everyone is offered the same opportunity. That's what fairness is.
Imagine a light-hearted poker variant in which everyone draws their starting wallet from a lucky dip - so some players start with deep pockets and others start virtually broke - with the winner being the last player standing. Would that be fair (or fun), when such a significant determiner of the outcome is not the quality of play but the luck of the initial draw?