You have it about right. I can't remember that actual specifics, but the "jump" at the beginning and end of the cross-dissolve is due to negative cutting, and poor technique at that back in the day I think (cement splicing?)
Whether the dissolve is made from original negative or a dupe IN (duplicate internegative), I don't know or recall, but all the shots required for a fade out are gathered onto roll A (for example) and put onto a contact printer. The printer is programmed to have full exposure on frame 1 of each shot, and to fade out for, say, 48 frames—like your example.
Roll A is removed from the contact printer (all of this done in the dark) and roll B is threaded up with all the shots that are supposed to fade in. Contact printers can run forwards or backwards, but however it's set up, roll B needs to be synchronized perfectly.
Both rolls A and B were pressed up against roll C, which is now processed as either a positive or a negative, depending on whether rolls A/B were positive images or negative images.
Either way, the cross-dissolve negatives are spliced into the master negative, and voila. Over time, the cement becomes crusty or breaks, and the negatives "jump" when run through the telecine to create the movie we see.
Also interesting to note is that the contact printer could've been set improperly and so the exposure might be off by a hair of an EV, so that makes the cuts more noticeable. Also, different film stocks were used between camera negative and contact printing negatives, so that might cause a difference in color temperature and grain, especially over time. So on and so forth. There's a multitude of reasons why these dissolves (and sometimes even title sequences) become noticeable.
Almost everything is done in a computer these days and lasered back onto film, seamlessly. even IMAX films are recorded and lasered out now.
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