If anyone else was wondering whether they became christian because of what they saw in Europe or if they were already christian before they left for Europe ... It's the latter, this was not an embassy from the Shogunate, but from 3 christian daimyo and the young emissaries their tutor + mentor were Jesuits.
The idea of sending a Japanese embassy to Europe was originally conceived by the Jesuit Alessandro Valignano, and sponsored by the three Kirishitan daimyōs Ōmura Sumitada (1533–1587), Ōtomo Sōrin (1530–1587), and Arima Harunobu (1567–1612). https://en.m.wikipedia.org/wiki/Tensh%C5%8D_embassy
The emissaries were also not promptly exiled like the meme implies. Ito Mancio for example was exiled to Nagasaki 2 decades later, after he was caught doing outlawed missionary work.
Joining the order of Jesuit priests in 1608 he engaged in missionary work in northwest Japan but soon was expelled from the local Kokura domain and then moved to the Nakatsu Domain. He was finally exiled to Nagasaki and became a teacher at the seminary. Mancio died of an illness in Nagasaki in 1612, at the age of 43. https://en.m.wikipedia.org/wiki/It%C5%8D_Mancio
So yeah, never believe memes.