I would think an engineer approved repair procedure with all the documentation would hold a lot of weight.
Unless the engineer was authorized by the equipment manufacturer to sign on their behalf whatever he certified wouldn't carry much weight
in my field of work (that may not apply in other fields). What happens if he moves to another company or even dies..? Who stands behind the repair then..? Can't sue a dead guy, right.? That's the difference IMHO in having something that says "certified to be in compliance with ISO standard J3406 by Caterpillar Inc." vs "certified by Joe Blow, PE registration XXX".
The example of a ROPS repair that you linked was a specific repair/rebuild of a structure installed on a machine that was no longer in production, the article says as much. I can tell you now that if any large mining company was the owner of that machine it would have been sent to the scrap heap rather than repair/rework the ROPS.
I think what it all boils down to here is the difference in interpretation between what is "possible" (pretty much anything if the technology/engineering is available), and what is "practical" (in terms of "How much".?). You're putting forward the position that most all things are technically possible, and I don't disagree with you. However just because something is technically possible should not be taken as a justification for actually doing it.
Sure wheels can be fixed, sure ROPS can be reworked. But in all the opinions put forward the evaluation of risk versus return has never been put front and centre. Most large industrial organizations (and their insurers) take a very much risk-averse position when it comes to repairs like this, and that has nothing whatsoever to do with whether or not the repair is feasible from a technical standpoint.