Given the claims christianity makes about ueshu, when he lived and when he died, it is highly unlikely that he was a talmid of R’ Yehoshua Ben Prachya. R’Yehoshuia Ben Prachya lived at least 100 years before the churban, (Hillel – at least 1 Dor later -was Nasi about 70 years before the Churban). The Chacham Tzvi says there were several Yeshus who Shas refers to. The christiam one is not him.
Missionaries (unfortunately, I have had the perverse “pleasure” of engaging these people in debate)do not bother to try and shoehorn him into Shas, they would rather shoehorn him into Tanach. It suits their purposes a lot better. It is mostly hate sites and anti semitic preachers that try and claim Shas (the Talmud as they refer to it) portrays him in a bad light, and make outrageous claims that Bilaam is a code word for Yeshu. They are the ones who claim that the gemara about Ben Patera is about yeshu. They are the ones who claim the gemara about “Miriram Megadla” (either bonim or sa-ar – this miriam was either a nanny who raised kids or someone who did hair) is really a story about mary magdalene.
Whether his name is Yeshua or Yehoshua also depends on who you ask. The misisonaries who call themselves “jews for j” call him yeshua – savior.
Whatever his name, yidden have been slaughtered and buthchered in that name for more than 2000 years. Do we have to talk about him?