An egalitarian relationship is is where both parties share equal benefits for equal amount of burdens and responsibilities.

This could be where both parties are off work, they share bills and house duties equally.

This could also be however, where one of the parties are responsible for the vast majority, or all the financial burdens, while the other is responsible for tha vast majority or all the burdens at home.

I claim, that the second option is not less egalitarian then the first, nor is it "oppressive" as long as both parties have chosen to follow it by their own free will.

So if one party is responsible for all financial burdens, he/she can not be expected to help out around the house. If he/she is doing it by his/her own choice, that's an extra, and it must be duely noted and appreciated. Otherwise it will cause imbalance and anxiety which will potentially lead to arguments.

Tl;dr:

If one is expected to be 100% responsible for the financial burdens, the other is expected to be 100% responsible for the household chores. Otherwise the parties are not putting in equal effort, and one benefits more then the other. If there is no equality in efforts and benefits, the relationship is bound to fail on the long run.