That Iwata quote kind of rubs me the wrong way, especially with Nintendo and Sony releasing extremely flawed emulators in the past. On top of games designed for CRT TVs often not looking as good on modern screens, we have emulators introducing low FPS and jerkiness (Sony PSone Classic) or making games look worse by rendering certain scenes without fog (Switch Online N64). With commercial emulation of early 3D consoles especially, you often just aren't getting an accurate representation of what the games were actually like.
(Although credit where credit is due, Nintendo's recent Game Boy Advance releases ship in one of most accurate GBA emulators around.)