Need to go back to reference where I read that Hadrian was easier on the Jews and wanted to rebuild Jerusalem.
In 66 AD, the Romans did nothing when Greeks in Alexandria Egypt massacred (burning some of them alive) local Jews. That was just one of the atrocities that led to the Roman War (Josephus’ Jewish War) that culminated in the destruction of Jerusalem in 70 AD.
Years went by. Hadrian didn’t want to rebuild it, he wanted to replace it. His first bang-up idea was to build a temple to Jupiter on the site of the destroyed Temple, and that was the precipitating event in the Bar Kokhba revolt.
After smashing the Jews again in that war, he had Aelia Capitolina built over the ruins of Jerusalem, and banished the Jewish population from the city.
The Romans had tried to stop the long practice of the Temple Tax. After the Temple was destroyed, Rome continued to collect the tax but kept the money, in an additional “**** you” to the Jews. As Michael Grant notes in his book “The Jews in the Roman Empire”, at their peak, which corresponds approximately to the peak of the population of the Empire, Jews made up about 15 percent of its population.