Yes, that's fair comment.
Though it's proper to take the midrash tradition into account. This apparently arose among the Jews of Alexandria in the mid or later part of the 2nd cent BCE and had considerable popularity. The idea was, as a group activity, to take any verse of the Tanakh and imaginatively expound a new and different meaning for it ─ that is, deliberately to depart from the clear meaning of the text.
But as for the gospels, the first in time is Mark, and Mark can largely be mapped onto the Tanakh along these lines. Thus much or all of the document can be explained in this manner, perhaps originating with the author of Mark, or else his church group.
When we get to Matthew, things get seriously imaginative in places eg
Matthew 's author requires Mary to have been a virgin because the LXX in translating Isaiah 7:14 had rendered Hebrew 'almah, young woman, as Greek parthenos, virgin;
He invented the unhistoric 'Taxation Census' story to get Jesus to be born in Bethlehem to “fulfill” Micah 5:2
He invented the unhistoric 'Massacre of the Innocents' story to get Jesus into Egypt to “fulfill” Hosea 11.1.
He absurdly sat Jesus across a foal and a donkey to ride into Jerusalem "to fulfill prophecy" (Matthew 21:2-5) in Zechariah 9.9.
That's enough to give you the flavor.