I'm in agreement with SomebodyData and ProfessorKukui4Life. I find their arguments logical, reasonable, & well presented.
And if anyone wants to accuse me of motivational bias, I feel it should be mentioned that I'd love Yu-Gi-Oh! upgrades... but only if the reasoning behind them seems reasonable. I was very happy when Yami Marik got his door-busting feat calc'd, am still hopeful his electricity manipulation can be quantified, & I requested several feats related to Joey & Valon's duel ages back.
But there's a lot I've disagreed with here.
Kaiba was able to use "magic" because they were in the Memory World. I don't recall the manga too well, but I've seen the anime, & my memories are foggy. If my memory serves, Joey & Tristan showed in that world that they could summon Duel Disks & monsters freely & fly among other things they couldn't do normally.
From what I recall, the presentation strongly suggested such abnormal abilities like summoning were a product of being in that world, not something they inherently have.
I don't recall the Pyramid of Light movie's exact details, but it is a 4Kids production, with no involvement of Nihon Ad Systems, nor Kazuki Takahashi, the creator of the Yu-Gi-Oh! manga. Meaning, IIRC, we can't use the movie.
Also, AFAIK, NAS was involved in the Capsule Monsters anime, but not KT, & it was primarily a 4Kids work, commissiond, produced & edited by them. Why would we accept Capsule Monsters? Emotionally, I'm not opposed, but at best, I could see it for the Anime profiles.
In
Kazuki Takahashi's official novel of the movie I couldn't find one mention of Joey/Jonouchi summoning, and I searched the document by his name & scrolled through it. I also couldn't find mention of Pegasus summoning.
And in said novelization, the "Game of Darkness being over" dialogue suggests that what they're observing indicates that the GoD is continuing, hence being able to summon. Even if it wasn't, IIRC, wasn't BESD made BY Pegasus specifically as a means to counter the Gods? As in, by the Millenium Item user who had to paint the God cards himself? He didn't create the Gods the cards represent, of course, but I would think that BESDs' power, status & circumstance probably indicate it being able to be summoned is a special case.
In the Orichalcos/DOMA saga, summoning is largely a product of Dartz/The Orichalcos, or the Legendary Dragons/Warriors.
Early in the arc, when Leviathan's eye appears, Timaeus is summoned from its card, & it shows influence -glowing, signalling, IIRC- even when the Orichalcos isn't involved. It's more likely that the Legendary Dragons having influence outside of duels or the Orichalcos is just proof of them being unique, not that anyone can summon.
When Yugi duel-fights the Orichalcos Soldier & its Orichalcos Giygas, that soldier had been summoned by Dartz with a Seal of the Orichalcos, & almost from the start of that duel, Yugi's deck got empowered by the Spirits of the Valley of Lost Souls.
This is the same valley where Atem & Yugi's spirit -or a likeness of it/Atem's negative feelings about letting Yugi get taken away- dueled. Odds are, summoning things with physicality in that duel against Soldier & Giygas was a product of the spirits helping out.
In the city, where Kaiba summons BEWD & Yugi summons Celtic Guardian, they were fighting Orichalcos forces, & in much of that, even the policemen were under Orichalcos influence. It would seem most of the city was affected by the Orichalcos.
So it's almost certain that wasn't an instance of Yugi summoning without an item either.
As for other hax, as interesting as Mirror Force, Magic Cylinder, Crush Card Virus, MST, Dark Hole, etc. are, I'm not sure how reasonable they would be to include without seeing how they act OUTSIDE of a duel.
Otherwise, we come up with questions like: How big is its range, does it suck things in, what happens with the vortex or space it distorts, what kind of disease does it distort, what properties do the forcefield have, in what ways does it reflect and so on and so forth.
Card effect portrayals in duels may vary, & with the basis being the game mechanics, yet what we're seeking being their actual effects outside of the game, I would think they might be a bit blurry to be used.
I would also like to give my thoughts on Infinite ATK Obelisk, but if that doesn't pertain to this thread, I'll refrain.