Ergo, the Sothic Cycle within the precessional cycle defines Sirius does not wander like the rest of the stars, and having something that is perfect every 1461 years is certainly better than something perfect every 25,700 years.
I have to correct you on this one. Sirius does wander, as any astronomy software will show. In fact it wanders so much that the Arabs have a cool ancient myth about it.
And there is no Sothic cycle. It was an invention of Egyptologists in the 18th century which is now seriously being called into question by modern Egyptologists.
The 1461 years attributed to the non-existent Sothis, is actually another cycle more clever than the Sothic, which anciently was called a Great Year or Year of the Gods (if I remember correctly).