Clarification

[dipper]

If parents are willing to share 50/50 physical and legal custody of child, will one still be named as the primary custodian?

[ocean]

No, you ask for joint PHYSICAL and joint LEGAL custody. Sometimes if you are not in same school district, one parent will be named for home school purposes only.

[Waylon]

If parents are willing to share 50/50 physical and legal custody of child, will one still be named as the primary custodian?

I don't know about your state, but in WA one parent is always named the "Primary Residential Parent" (PRP) even in cases where everything is 50/50. Mostly it's just an address thing, but I believe it does carry some weight in court.