Shan1, from what I gather your question is why does the lower earner provide the direct expenses and is there any way you could be put in charge of direct expenses? Please correct me if I'm wrong.
The standard that you are referring to (that the lower earner is in charge of DE) is part of the 2012 child support guidelines. I can tell you that meeting after meeting this particular section was discussed among the committee members. While the intent of the 2012 guidelines is to make sure the lower earning parent has enough money, it fails to consider that there are a significant number of higher wage earners doing the shopping. They also fail to consider the emotional attachment the child develops with the parent who buys everything (the provider). In my opinion, parents can and should be allowed to share direct expense purchases. I personally think direct expense sharing should be ordered by default just as it was prior to 2008, until one parent defaults or the parents need to use the EPT formula for some other reason. The EPT formula is not my preferred method of providing for DE.
Lower income earners are faced with a question - agree to share direct expenses and work with the other parent, or disagree and receive additional child support. The later is many times the answer because there is money attached to the decision. If, however, money is removed from the terms of the agreement, my guess is we would not see nearly as many disagreements.
The 2016 guidelines have been approved and will become effective on January 1st, 2016. On page 11 and 12, you will find that the lower income earner is no longer in charge of direct expenses by default. Instead there are now a list of factors the court must consider before determining who will pay DE. Also, note that section f. considers the non-payment of medical bills.
If it were me, I would not motion the court to change child support at the same time as asking for reimbursement. Instead, I might motion for reimbursement, and follow that later on with a motion to change child support, after nonpayment of certain DE items has been established by the court. But remember, the status quo is usually the standard order unless the needs of the child are not being met.