Let us note that you admit that two of the Gospels were not written by eye-witnesses and those are - contrary to your claim - those we’re the traditional candidate is least unlikely to be the author.
For Matthew let us remember this little gem of yours:
Also, the fact that Matthew in the Gospel is referred to in the third person is actually additional evidence that it was Matthew the tax collector and apostle.
Do you want to actually try to defend this, this time? Don’t you realise that it is evidence that the author was not Matthew?