Historical Jesus, Biblical Jesus

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All the Romans knew was that Pontius Pilate executed someone called Christ during the reign of Tiberias, and from that we got the Christians. They never knew anyone named Jesus, since the name "Jesus" was not likely well and widespread translated from the Hebrew to the Greek. But Christ was an interpretation of Messiah, and a word the Romans already understood.

There may be a partial problem with this.
Eventually he came to be understood as a "christ". (By the time the Romans were talking about him, that time may have elapsed.)
Pilate didn't execute a christ. He executed someone who eventually came to be understood as the christ.
That took a while, and the fact jesus didn't get the christ's job done didn't help.

I have no problem with this. Valid observation.