The official Mortal Kombat Threads account announced that Mortal Kombat 1 on PC received an update which should resolve desyncing issues. Unfortunately, console players will have to wait for at least ten days. This is what the MK1 team wrote:
"A PC update that resolves desyncing issues is now available. We expect to have a patch that fixes this problem on consoles in early January. Stay tuned here for updates.
In the meantime, for those experiencing desyncs on console, we recommend that players do not skip the intros as this might reduce the occurrence of this issue."