No that is wrong.
It's about how many local nights off you get after the trip not about the days off. If the ULR is followed by another ULR you need 3 local nights off if followed by a non ULR trip you need 2 local nights off.
So in your example, your first night after you arrive from JFK counts as a local night, then you have your day off and then another local night. That counts as 1 day off (2 local nights). On the second day after you arrive you can't start a duty before 6 am (otherwise you wont have that second local night).
So in the above example you have 34hrs off counting as 1 day off...