I think something is being overlooked. Yes, Harry used the Sikarian trajector to visit Alastria, a planet 40,000 light years from Sikaris. However, we don't know
in which direction from Sikaris it was. It was never stated that Harry's jump actually took him closer to Earth, just that if it could take him that distance in whatever direction,
Voyager could use it to get an equivalent distance closer to Earth. Assuming Alastria was in the Milky Way's stellar disk at all, rather than a rogue star out in the halo, then judging from Sikaris's position on the outer rim of the Delta Quadrant, with 40 kly being about 80 percent of the disk's radius, I'd say Alastria could've been anywhere within about a 140-degree arc from Sikaris. Now, if we go by
Star Trek Star Charts' assumption that the Federation is roughly 500 ly in diameter, then from 70,000 ly away it would subtend about 0.4 degrees. That means that the odds that Alastria was in the direction of the Federation would be 0.4/140 = about 1 in 350 (and that's treating the z-axis component as negligible; since the disk is about 1000 ly thick, it might be more like 1 in 700).
Even if we assume that, by some extraordinary fluke, Alastria was in exactly the same direction from Sikaris as the Federation and/or the Borg transwarp hub, let's consider how far
Voyager travelled. In addition to its normal travels, it made jumps of 9500 ly courtesy of Kes, 300 ly courtesy of Arturis's slipstream, 2500 ly through the Malon vortex, 10,000 ly by slipstream, 20,000 ly by Borg transwarp, over 200 ly through the Vaadwaur corridors, and an unspecified distance equivalent to 3 years' travel through the graviton catapult in "The Voyager Conspiracy." So that's 42,500 ly of shortcuts plus 10 years' worth (7 seasons plus the catapult) of normal warp travel. If we go by their initial assessment from "Caretaker" that 70,000 ly would take them at least 75 years to cover without shortcuts, that makes for an average of 933 ly/y, so that would bring the likely total to around 51,800 ly. (
Star Charts gives a more conservative estimate of 46,028 ly.)
So unless a) Alastria just happened to be in exactly the right direction and either b) Kim and his Sikarian friend hugely rounded down the trajector's distance or c)
Voyager's course was considerably more convoluted than
shown, I'd say it's pretty unambiguous that Kim did
not travel closer to Earth than
Voyager had as of "Endgame."
