From a Springfield controller (my emphasis).
OK, here is my best "controller answer" **Disclaimer I am NOT a CFII, but I have been a controller for quite some time. That being said, this chart in particular used to have "Radar required" which has been changed to ADF or DME required. It is my understanding that the "radar required" portion of this was because there was a navaid that was unusable or the pilots couldn't find it without it (ie.. CALDE). I assume GPS is why it has changed because pilots that have the ability to clearly define CALDE and can navigate the approach (and the missed) if they have it, if not they must resort to the DME missed. While I definitely understand your question and confusion, I believe it is for the "RADAR REQUIRED" portion going away due to the fact that most aircraft are GPS equipped now. I believe rather than how you are reading this (and rightfully so!). If I am correct in my analysis of your question, it should say like GPS equipped do the first missed, if not fly the one in parentheses.
Does that make sense? (Not a smart ass question just curious if that makes sense from the pilot perspective).
As a side note, if the tower is open you will always get alternate climbout instructions here unless you specifically request the PM. If you are in question which to do, just ask and we will get to the bottom of it together. If the tower is closed and Center is working it, if you want to make sure you are both in the same page ask them if they have a preference (in the event you can do either). I agree with the person above, the first missed approach is what I would default to if you can do it . As a controller, I would definitely ask you which one you were doing if it mattered.
In another comment he added that if he cared which you did, he'd tell you.
And yesterday, they would typically give custom climbout instructions.