The Magen Avraham of Trisk holds that the chulyos need to start full after each double knot, as opposed to completing the previous Chulya broken off.
In Belz, there was an argument between R’ Yissachar Dov from Belz and his son, the succeeding Belzer Rav, when they do the Chulyos, do they do it 3-3-1 and then 2-3-3 (the 2 completes the last chulya, or 3-3-1 then 3-3-2 since after each double knot a full Chulya should be produced. It looks very similar to Chabad/Radzyn tying but it’s different.
In the Sefer Taamei HaMinhagim it explains that this is done since in the Raya Mehemna (Zohar Vol 3 228a) of the HaZohar, it explains that each full chulya comes from a place of Kedusha, so perhaps that’s why he wanted to start from the full chulyos even though it created a real disconnect between the previous and next chulya parts.
The biggest difference between this variation of Trisk and this variation of Belz are in the Chulya style, but the ordering is the same.
Info thanks to Yidy Fuxman of Knot the Tzitzit.