Looking through the episode rundowns, it does seem like most of the skipped weeks featured Tuesday and/or Ana prominently, while most of the non-skipped weeks did not. However, I'm surprised that they aired 1401-1410 in 1993, as those two weeks prominently featured Tuesday. (They also heavily featured the Frogg family, though that may not have been a negative factor.) Also, Tuesday was featured in 1353 which aired in 1992, and Ana was featured in 1454 which aired three times during the 90's. I guess these may have been considered minor enough appearances, and 1451-1455 in particular may have been deemed too important to skip over one Ana appearance which was based around her future.
Still, it seems like 1331-1335 could have been aired in 1992 instead of 1351-1355, as the former week didn't seem to have any "confusing" content. I guess they may have just skipped it along with the rest of the first five 1974 weeks just for the sake of jumping ahead a year, or maybe there was a reference to the previous week which featured Tuesday and the walls being painted.
It seems that 1331-1335 is about a circus, which was first mentioned in 1330. Maybe 1331-1335 couldn't air without 1330? Also, isn't there a post-75 where Fred and Betty go to the circus? Maybe 1331-1335 was too similar to similar to that, so there was no need to air 1331-1335.
Then there was 1416-1420 which also did not feature Tuesday or Ana, but supposedly may have been skipped due to Daniel losing his tooth. This seems a bit silly considering that Ana and Tuesday's appearances were mostly purged, while plenty of Daniel's appearances were shown.
I see no reason to skip episodes with Daniel, since he is the same age in the pre-79s as he was in the post-75s, so there was no confusion, unless Tuedsay or Ana appears in the same episode. Also, I remember some kids losing a tooth when they were in kindergarten, which is the age that Daniel was, so I don't see that as being confusing.
But I cant think of any other reason why that week would be skipped - other than possibly references to the previous week, but again, it didn't seem like such references were considered to be major negative factors.
Maybe the energy crisis in 1417-1420 seemed less relevant in the 90s than it was in the 70s. Also, there was the then fairly new week about the Environment, 1616-1620, which probably deals with more current environmental topics than 1416-1420 did. Interestingly, 1416-1420 is one of the very few post-1968 weeks to deal with a then current event. It became a current event again when it presumably reaired the week of July 2-6, 1979. (2 weeks after I was born).
By the way, regarding Allmine, maybe I missed something but it seems like his only major appearances during 1974-75 were in 1411-1415 and 1421-1425.
He was first introduced in 1336-1340, another skipped week. And he apears in 1441-1445, also a skipped week, and the only later 1975 week to be skipped. Although, as you said, 1441-1445 also prominently featured Tuesday.
The latter week aired in the 90's as you mentioned, while the former also prominently featured Ana and Tuesday. So I'm not sure if his appearances were a factor.
Again, in 1425, probably kids just assumed he was an opera-only character, such as Reardon. Also, in the 90s, pre-79s aired only in the late spring and the summer, so the beach theme in 1425 was appropriate. Also, that was one of the best operas in the series, so they probably didn't want to lose that week.
To be honest, I think most of these weeks should be able to air, even today. They don't have most of the elements that earlier pre-79s have that would confuse kids.
I still wonder whether or not it was intentional to air 1425 on July 3, 1992. It probably was. But I still wonder why in 1994, they aired 1431-1435 before 1421-1425. I don't see any advantage to them doing that.