Do you have a link to support this - or just a hypothesis?<quoted text>
Jesus was most likely a Pharisee, a student of the Hillel school.
Ever place that Jesus condemns the teachings of the "Pharisees", what is condemned matches the teachings of the Shumai school, rivals of the Hillel school.
IMO - Hillel (also of the "house of David" lineage) seems to have been more prominent in the community, but really wasn't, if one looks at the whole picture. To believe Jesus came from this school is plausible, but really is an unknown suppostion.
One could also surmise he was of the Essenes and their teachings.
One could surmise many things.
Barring the difference in the actual numbers of...312 & 316 - I'd have to see additional info that you suggest ("most likely").
Hillel and Shammai [Shamai]
Hillel and Shamai had a minimum amount of legal disagreements between themselves; only three, in fact. However, each founded his own renowned academy of Torah learning and there arose numerous and contentious disagreements (312 to be precise) among the disciples. Eventually, it went beyond the mere number of disputes and became almost two diametrically opposed viewpoints.
There is a danger to oversimplify this, but generally the Academy of Shamai is thought to be stringent where the Academy of Hillel tends to be lenient. Generally, the Academy of Shamai looks at the potential whereas the Academy of Hillel looks at the actual. There are many theories advanced in the Jewish authorities throughout the centuries attempting to explain the central core of their disputes.
Discussions Between the Schools.
The prevailing characteristics of the disputes are the restrictive tendency of the Shammaites and the moderation of the Hillelites. Three hundred and sixteen controversies between these two schools are preserved in the pages of the Talmud, affecting 221 Halakot, 29 halakic interpretations, and 66 guard-laws ("gezerot"); and out of the whole number only 55 (or about one-sixth) present the Shammaites on the side of leniency.