The Dark Dragon Balls physically flew beyond space-time to
different eras of time. They were
visually shown to have physically flown away without any showings of portals, they were
explicitly stated to have flown away without any mention of portals and Dragon Balls by default use physical flight for traveling, even the st
rongest DB's in the verse do it to travel to other universes. All the evidence clearly points that the Dark Dragon Balls physically flew beyond time. The argument against this was that the feat was done "off-screen" but we can clearly see the DDB's physically flying away on-screen so that claim is false.
The second feat is
Chronoa, Trunks and Vegeta flying from the Cell era to the Buu era. You can clearly see them flying in the Crack of Time towards to Xeno Goku's location, so it's heavily implied that they actually flew that distance, thus physically flying to different eras. The argument against this is that they used the Crack of Time itself to travel from the Cell era to the Buu era, in the sense that the CoT itself functions in a way that it could be used for time travel purposes. However, this was never actually established in-verse to be an actual function of the Crack of Time itself from what I've seen so the whole argument is literally based on headcanon. Adding a major new function to an important part of the cosmology with nothing but baseless assumptions/headcanon is a big no in my book.
An anti-feat argument was brought up about Vegeta needing Chronoa to go to his own history, implying that he can't do it own his own. However, my argument is that Vegeta simply doesn't know the specific destination of his history in space-time due to being just recruited (he doesn't even exactly know what a history even is at that point), with
space-time destinations being an actual established thing in the verse, thus not an actual anti-feat. As I've explained, him being native to that timeline doesn't somehow grant him the info of his history's destination in space-time, it's not the same thing as finding your own house since you're navigating through an endless amount of other near identical histories. And as for the Time Scroll, him looking at a recording of his own history on a scroll doesn't grant him the actual destination of his history in space-time. Him "supposedly" knowing it's his own history doesn't change the fact that he would still need to navigate through space-time and know the actual destination of his own history if he went on his own. And to add the icing on the cake, Trunks (who's been in the Time Patrol longer than Vegeta at this point) who looked at and used the exact same Time Scroll as Vegeta did and went with Vegeta to that history only realized that they were in the Cell Games era
after he actually went to that history and saw Cell there. Not to mention the fact that the Time Scroll literally only showed a
giant crater in the ground so once again, there's no proof that Vegeta actually knew which history he was heading to when even Trunks didn't know at first and he used the exact same scroll that Vegeta did lol. Him not going to that history on his own is simply a case of him not knowing where to go, not an anti-feat.