Well yes there is a difference, a HUGE difference.I don't believe there is much difference in saying the Antichrist is completely empowered by Satan and saying the Antichrist *is* Satan. What's the point? Why is that so important?
Believing that the coming Antichrist will be just another flesh man with Satan's influence like past history usurps what Satan intends to do for the end of this world.
What flesh pretender of being God or Christ of past history was able to work the great signs, wonders, and miracles that Lord Jesus and His Apostles warned us about with the Antichrist for the end? None. The past history flesh fakers could not do those miracles. And that is what makes distinguishing the difference between a flesh antichrist vs. Satan himself as the antichrist.
The antichrist for the end is pointing to a 'supernatural' entity.
That is why it is written that coming final antichrist will deceive the whole world, excepting Christ's elect (Revelation 13:4-8).
That was also Christ's Message in Matthew 24:24, which the "false Christs" (KJV) is actually Greek pseudo-christos which means a singular false Christ. That is the context of the Matthew 24:23-26 Scripture, be forewarned when others come up to you say, "Lo, Christ is here; or there", and Jesus said to believe it not.
Paul in 2 Thess.2:4 showed he will exalt himself as God, and over all that called God, or that is worshiped. That is HUGE... simply because means the faiths of ALL religions on earth for who they believe God is. For the unbelieving Jews, they will believe he is Messiah. For many of us Christians, he will be Jesus having returned for the deceived.
And Satan can... work those great signs, wonders, and miracles on earth, raining fire from heaven down to the earth in sight of man (Rev.13). He can easily do that because he is supernatural. This is why Lord Jesus said that IF IT WERE POSSIBLE, he would deceive even Christ's very elect. Thing is, Christ's very elect, His chosen for the end, cannot be deceived, for He has already shown those.
How can all this be possible, one might ask? It's simple, and God in His Word has shown us this, so this isn't a teaching from men, it is God's written Word....
In the old world, before this present world (even prior to Adam and Eve), before Satan rebelled in coveting God's Throne, God had made Satan perfect in his ways. This is revealed in the Ezekiel 28 parables about the prince and king of Tyrus (means 'rock', another title for Satan, the little 'rock' of Deut.32:31). Genesis 2 reveals that God's Abode was once upon this earth. Revelation 21 & 22 reveals God's Abode will return to this earth, to live with us.
So just as Satan originally rebelled in trying to be God, likewise at the end of this world God is going to allow Satan to do it again, and God is going to use that as a major pruning of the rebellious who refuse to listen to Him. This is why Satan himself... is coming at the end of this world as the antichrist, and not just some fleshy antichrist coming with Satan only hidden behind him.