Okay.
So, if your property settlement were to be determined by the court, it would follow a four-step process as follows:
1. What's the value of the joint asset pool?
2. What's the financial and non-financial contribution of each party?
3. What are the future needs of each party?
4. Is the property settlement just and equitable?
Care arrangements for the kids would fall under Step 3, however, it would be just one consideration of many. Given that there's a shared care arrangement in place and it's very nearly 50/50, the court would hardly give the issue any weight, if even any at all.
However, it sounds like the court isn't arbitrating the property settlement, so really, you can settle however you want. If the father seeks to adjust the property settlement as a result of moving to 50/50, you can refuse to do so, and he can either accept or pursue court arbitration.
Of course, court arbitration - for either parenting orders or a property settlement - is a risky process. It may end up costing either party more than what they would otherwise gain, so best avoided, in either case.
Regarding the children's matter, I can see merit in the father's case for seeking week-about arrangements. In these circumstances, the court would make parenting orders only in the best interests of the children, outlined in section 60CC of the Family Law Act 1975. The difference between six nights a fortnight and seven nights a fortnight is nominal, but an arrangement that includes every Monday and Wednesday and every second Friday and Saturday may be posing some challenges - it may not be as predictable for the kids; they may be experiencing difficulty settling into the routine of each household given the chop-and-change nature of the arrangements; etc.
So, summarily, rather than focus too much on how care arrangements might influence the property settlement, it might be more beneficial to consider the issues in terms of what's best for the children.
Anyway, hope this helps.