That contradicts what basically any other source claims. Mike Tyson’s Punch-Out! technically combines characters from both Punch Out! and the actual sequel Super Punch Out! arcade games if that is what you're getting at.

You could be right, I only own the US version. I still prefer it to the later games in the series that took on the name Soul Cailbre.

For the first two, they are radically different games on the NES and while they look worse graphically, the games themselves are much better. Actually, I'll just add some detail.

Ninja Gaiden in the arcade is a straight beat'em up like Final Fight, basically no story. No special abilities, no real platformings, just punches, kicks and a superior flipping move that you essentially use the whole game.

Strider is also very, very different and has all the more interesting features missing. The Sega Genesis did get an arcade faithful port of Strider.

Punch Out is also a different, though less so then the first two, and IMO much more fun on the home system. The home system had tighter controls IMO and had a lot more character. It makes sense as the arcade game was trying to get money out of you.

Tekken 3 simply has a ton of better options and game modes on the home system. Graphically is every so slightly worse than the arcade, unlike 1 and 2 were had essentially the same ps1 hardware in both arcade and home.

Soul Blade has more playable characters, the best game mode Namco has every added to a fighting game, Story Mode, that had a bunch of cool battles with fun mechanics, unlockable weapons, tons of (you guessed it) story, and even some really interesting interactable cut scenes.