Optimal seatings changes 3R+F

We used the new seatings to our last tournament (17 players), and many players had the feeling the met the same players often.

I gave a look to the seating used, and I can confirm that this feeling was true. Among all the possible seatings that are "optimal" (ie. with the lowest vp/transfers deviation), there are variations about how many times player X met player Y.

For instance, the current (non-optimal) seating has 13 pairs of players that meet twice, and 58 pairs of players that meet once during the 3 rounds.

The seating I took among the list of optimal seatings was: 9 14 10 15 7 | 5 12 4 2 | 3 13 17 6 | 16 1 11 8 / 13 8 6 11 16 | 15 5 14 3 | 7 4 1 12 | 2 17 9 10

It contains 1 pair of players that meet thrice (14 and 15), 14 pairs twice, 53 pairs once.

But there are other optimal seatings that seem "better": 17 pairs twice, 50 pairs once, or 15 pairs twice, 54 pairs once.

I think we should value more the seatings with the most "meet once" pairs.

But what if it increases the number of players that meet thrice?

For instance, the seating with the most "meet once" pairs is: 63 once, 6 twice, 3 thrice

The seating with the most "meet once" pairs AND no "meet thrice" pairs is: 60 once, 12 twice

Which seating is "better"?

I'm redoing the computations because rule 2 had been taken out of the equation.