Non Pre-Millennials with an at all face value understanding of the chronology of Revelation have to conclude that Revelation 19 does not depict the Parousia and thus this White Horse Rider isn’t exactly Jesus.
A lot of things said about Him are also said about Jesus elsewhere, but that’s in the context of how Jesus is the beginning of the fulfillment of Humanity's Destiny, and how He gave His Authority to His Faithful Saints.
The White Horseman cna be viewed as Jesus in the sense of Jesus working through His Ekklesia.
He is Faithful and True to His Father and we strive to be Faithful and True to Him.
The Sword that comes out the Mouth of Jesus in Chapter 1 and this Rider in Chapter 19 is the Sword of The Spirit of Ephesians 6:17, the Word(Rhema) of God. When the Armies of The Beast are killed by this Sword I don’t believe it refers to the physical deaths of bodies but how the Word of God is killing their old selves to begin the process of Spiritual Rebirth.
The Name of the King of Kings and Lord of Lords being written on his Vesture can be interpreted as not his own name but the name of who he’s serving. That said, given the Kingship of all Believers Doctrine, that too can be a title Jesus Shares with His Faithful in some sense.
Isaiah 63:16 depicts Israel as a Horse and Zechariah 10:3 depicts Judah as a Horse.
At least two things said about this Rider are references back to the Promises to the Overcomers in Chapter 2, the one to Pergamon in verse 17 and the one to Thyatira in verses 26-28. The Overcomer promises I’ve always viewed as the least actually specific to the Ekklesia at hand, every Overcomer can expect to benefit from all 7 of those Promises, each one is tied to a specific Ekklesia in Chapters 2-3 for thematic reasons. A third Overcomer promise could also be relevant to Revelation 19’s Horseman and that’s the one to Philadelphia where the topic of Names is again relevant.
Revelation 6:2 and 19:11 have more in common than just the idea of a White Horse and someone riding it, a lot of language is repeated verbatim, the only real difference is the weapon the Rider wields. I have a prior post arguing the Revelation 2 White Horseman is Smyrna. And that could still be the case here, but the change in Weapon has me looking to the other Ekklesia with nothing bad said about them.
The only time the word “word” is used in Revelation 2-3 is twice in the message to Philadelphia in Chapter 3 verse 8 and 10. There are also only two verses where the words “word” and “name” appear twice in the same verse, Revelation 2:8 and 19:13. I do think those verses relate to one another,
Also the Revelation 19 White Horseman already has a Crown while the Revelation 6 White Horseman is given one, just the difference in the Crown references for Smyrna and Philadelphia. Now the Revelation 19 Crowns are Diadems rather than Stpehanos, but the difference between those Greek words appears to be that Diadem is more specific, every Diadem is also a Stephanos.
Since Philadelphia is the Revelation Ekklesia who’s origins we arguably know the least about, maybe it was a daughter of Smyrna to begin with.
Heaven being Opened in 19:11 is an idiom just like heaven being Shut in Revelation 11:6 was, it's an idiom Scripture sometimes uses for Rain.
Through out Revelation "Them that Dwell in Heaven" is not refer to a different location in the Universe then "them that Dwell on Earth", it's about a state of mind, it's about Believers being Citizens of the King of Heaven rather then the Kingdoms of this World. And it's the same with the Armies of Heaven in Chapter 19 verse 14, in the fact the words "which were" in the KJV aren't even in the original Greek.
So no I don't think these verses are about anyone traveling through a Stargate.