The pattern is that
Alpha EJ, Beta EJ, Gamma IP and Delta IP seek a Ti-sort of connection with people (ESE, EIE, ILI, SLI)
Alpha IJ, Beta IJ, Gamma EP and Delta EP seek a Fe-sort of connection with people (LII, LSI, SEE, IEE)
Alpha IP, Beta IP, Gamma EJ and Delta EJ seek a Fi-sort of connection with people (SEI, IEI, LIE, LSE)
Alpha EP, Beta EP, Gamma IJ and Delta IJ seek a Te-sort of connection with people (ILE, SLE, ESI, EII)
As you can see, these are not supervision rings, but two and two pairings in each group also share the same irrational ego-function and also share supervision ring, so that's where you saw the pattern.
Other interesting patterns in this theory: dynamics seek connectivity on an internal level (Fi or Ti), while statics seek connectivity on an external level (Fe or Te). In addition, rationals seek connectivity on a level similar to their dual's strongest function, while irrationals seek connectivity on a level similar to their dual's weakest function.
There are lot of consequence to be expected from these patterns:
- rational duals probably have an easier time bonding at first than irrational duals (no idea if this is true in reality), since their preferred style of connections is their dual's strongest function
- rationals are probably more on tracks within their quadra's valued functions than irrationals in settings where they try to connect with somebody, since they prefer connecting on their dual's strong function (and thus their quadra's valued functions), while merry/serious irrationals seek deep connections on serious/merry quadra's rational functions.
- Some interesting traits in the types are also revealed:
- ESE, EIE, ILI and SLI all seek Ti-sort of connectivity with others, and based on this, ESEs and EIEs can probably be colder than expected when they try to connect with people for real, more in such cases than if they are just "Fe-ing around". For ILI and SLI on the other hand the "cold" effect is augmented (when trying to bond).
- LII, LSI, SEE and IEE all seek Fe-sort of connectivity with others, and based on this, LIIs and LSIs can probably be warmer than expected when they try to connect with people for real.. For SEE and IEE on the other hand, the "warm" effect is augmented.
- SEI, IEI, LIE and LSE all seek Fi-sort of connectivity with others, and based on this, LIE and LSE can probably seem sappier than expected when they try to connect with people for real. For SEIs and IEIs the "deep and feely" effect is just augmented.
- ILE, SLE, ESI and EII all seek Te-sort of connectivity with others, and based on this, ESIs and EIIs can probably seem more interested in productivity than expected when they try to connect with people for real. For ILEs and SLEs the "producing" quality is just augmented.
The reason I brought in, and grouped based on, the irrational function in the opening post, was to show how the "feeling" of the "good times" is for each type. When we add in the irrational dimension, we see how people consciously seek Ti/Te/Fi and Fe connectivity, while they unconsciously expect a certain "feel" or "outcome" of this. The rational functions is what we consciously do to achieve the good state for our irrational ego-function. Read the opening post if you need explanation of what I just said.