I am a father in CT that had joint custody with my ex but was designated the custodial parent about 19 years ago.
My lawyer explained to me that this arrangement was created orginally to give the noncustodial parent/Dad a face saving status. The custodial parent had full control over most every decision except major ones like health care choices, location etc.
What I was told was that the courts often gave the noncustodial parent some say in those matters anyways and that if my ex disagreed I would need to take it to court. The result would not be much different if I had sole custody. I could only remove her from my kids life by getting her to renounce or get her parental rights removed all together. Something a judge would frown on.
I'm sure you've experienced some challenges as a single parent but were the right choice as the custodial parent. :o)