After looking at your table, I think I see where all of the confusion is coming in!
Using the Graph > Profiler, I put in your Pred Formula Y and PredSE Y columns in the the Y field. JMP then asks if I want to use PredSE Y as intervals. I say yes, and I get this plot:
You can't see the intervals, but if you adjust the Y axis, you can see them.
Now if I start over and put in the Pred Formula Y and PredSE Y 2, it does not work. Why? Well, it turns out that there is extra information in these columns that links them together. Open up the Column Info for the Pred Formula Y and click on the Predicting column property. You will see there is an ID number embedded in that property.
If you look at the Column Info for the PredSE Y column, then you will see this same ID number in the Std Error property:
But the PredSE Y 2 column has a different ID number. If you change the ID in the PredSE Y 2 so that it matches the Pred Formula Y, then the confidence intervals will show up when using Pred SE Y 2 (after adjusting the Y-axis). In other words, JMP is checking to make sure that the potential interval formula actually matches with the prediction formula. This will allow you to plot confidence intervals with multiple prediction formulas simultaneously.
Dan Obermiller