The "contradictory accounts" in the Gospels are reflective of the different audiences for each Gospel, and the emphases of each discipline who composed them and their acoloytes who presumably wrote them down.
Including the fact that the writers of the Gospels, whomever they were, were not likely eyewitnesses to the events they are writing about. Never, in any Gospel account does the author say anything like "i saw" or "and he said to me" or "we did this", or "we did that", their descriptions instead were always as if they were recording what happened to other people, not what had happened to them. The writer of the Gospel of Luke is a perfect example, wherein he thanks his patron for funding his attempts to compile the eyewitness accounts of the ministry of Jesus.
So it makes sense that the accounts might not add up 100%, as peoples memories are not always accurate, and the compilers of the Gospels likely didn't share the same eyewitness sources for their compilations to begin with.