I doubt it. First of all, they all know burning the corpse is needed to prevent possible reanimation as a white walker.
However, the situation we see is obviously a tense one. This suggests there is something at stake. If he was dead and that was that, there wouldn't be much of a reason to protect the body and everyone would be on board to burn it.
However, my guess is it becomes clear that Mel can resurrect Jon or Jon can otherwise come back to life. But what sells that? Mel can do magic, but my guess is that Jon wargs into Ghost and is able to communicate just enough to sell that he isn't dead dead, which gives some weight to what Mel can do. When Jon's killers learn of this, then it becomes imperative to destroy Jon's body (and probably also kill Mel, although the fact they are all there means that they can't find her or get to her). Davos protecting Jon means that he probably buys into the idea that Jon can carry the banner of Stannis or at the very least, avenge Stannis by destroying the Boltons (or even being the best hope vs. the Others).