Just for a little context as to how it is done in Switzerland (which should NOT be one´s yardstick to measure equality between the sexes):
The parent who shoulders the care of the child is the one that supplies child maintenance in naturalia ("natural maintenance). That is the emotional and physical care. It is generally assumed that the other parent supplies the financial maintenance.
Which is done as follows:
First take the salary of the non-resident parent. Then detract what is considered their essential living costs. If there is a sufficient amount of money to cover ALL the financial needs of the child, the parent´s living expenses may be boosted to include non-essentials.
Then you calculate the "Barunterhalt" which would be translated as cash maintenance. It is what the child physically needs aka a fixed amount for food, a share of the housing costs of the resident parent AND also childcare, if that applies.
In a second step you will calculate the Betreuungsunterhalt. Which could be loosely translated as child maintenance for (parental) care. This is the money the resident parent looses due to taking care of the child. If that loss means that the resident´s parents essential living costs are not covered, the resident parent has the right to be reimbursed for that loss by the non-resident parent.
Resident parents of very young children can claim all their (legally recognised) living costs, when the child is school aged it is expected for them to work 50%, but if that does not cover their costs they can still claim a certain amount of maintenance until the child is 16. This is NOT spousal maintenance btw and is in no way dependant on the child´s parents having been married. (= this would probably not apply to you, seeing as you can cover your costs living expenses with your salary).
Or in other words: In your situation your ex would have the right to cover his essential (and due to having sufficient funds) not so essential living expenses.
He would have to cover all the child´s essentials including ALL childcare. If you have to reduce your workload to take care of the LO and therefore could not cover your own recognised living expenses he would have to cover that las well.
And if there is money left over after this calculation, the child would have the right to a percentage amount of that. That´s called the division of the surpluss and is meant to cover complete non-essentials like holidays or extra-curriculars.
Wow, I just realised that this is a massive wall of text. [laugh]
TL;DR:
The Swiss system recognises that the parental care of a resident parent (aka the natural maintenance) is as valuable as financial maintenance and tries to distribute the entire burden of financial and "natural" maintenance equally between both parents.
Edit: This is not legal advice. Contact a qualified attorney if you´re in Switzerland and are considering a child maintenance claim / considering a child maintenance claim that may be subjected to a ruling made with consideration to the Swiss system.