This is an intriguing tangent, but still - did you actually watch this vid you posted all the way through?
In it, he is comparing various manufacturer 4558s, except for the last handful which were not 4558s, but other numbers (JRC072 NC-bla bla bla etc).
No difference in tone between 4558s, slight difference with the non-4558s.
The other thing you will notice is every one of these chips (he shows pics of them) is the same 8-pin package.
These comparisons in the video are apples to oranges when it comes to the comparisons between the 8 pin (4558 typically - popular chip) versus the 14 pin (Raytheon chip) BOSS OD-1.
In other words, you cannot use this video to make the blanket statement "all chips sound the same no matter what".
Sure, any 8 pin 4558 of various manufacture is going to sound the same compared to the other 8 pin 4558s... after all, it's the same package and same number, just different manufacturer.
All that video proved was any manufacturer's 8 pin 4558 will sound the same as anyone else's.
Now that's not to say the 14 pin BOSS OD-1 doesn't have a couple component changes beyond the 14 pin Raytheon chip - versus the later 8-pin 4558 version, so it's not just the chip here. According to Analogman, both the chip and component changes contribute to the final tonality.