Yes. In the Earliest Gospel (post-70) the irony is that "Christ" is not the Christ of the Jews.
They were post-70 Christian judaizers.
Regarding -- you seem to be implying the anonymous people were Christians. It would seem the anonymous people would be non-Christians.
Essentially, my reconstruction is the following:
1) before the 70: gnostic apocalypticism (in Paul and others).
The power of the Creator god is going to an end, after the recent celestial death of the Man/Son of Man.
In whiletime the Son of Man was honoured with many titles (for example "Christ" and "Jesus" among these).
2) for the original Christians, the Fall of the Temple marked the real end of the rule of the Creator god. But the apocalypticism became now also a messianic apocalypticism:
the God Creator would have sent his davidic Messiah. The (first future coming of the) latter was confused with (the second coming of) the Gnostic Son of Man.
3) the Earliest Gospel: the "Christ" is not the Messiah of the Creator God but he is the celestial Son of Man crucified by the Demiurge.
4) the adoptionism in Mark: the "Christ" is both an earthly figure and the celestial Son of Man.
5) the proto-catholic Matthew.
6) the rest is History.