Augustus
…
Well, yes. That's how syncretism works, ultimately.
It is also how illusory connections are drawn.
It wouldn't matter what date it was or what ever symbolism was drawn, if you start with the assumption that the later thing must have been copied from somewhere there is always something you can find to confirm your prejudice.
There's no deliberate appropriation or theft going on here.
There is usually no evidence of 'borrowing' or influence either