Alternator amp rating.

Long time ago, (well, not that long, lol!), in the mid '80's I worked with a Gentleman in a private shop Who thought He'd upgrade His Omni alternator when it took a dump.
Later versions of the Omnirizons had the same gauge charge lead no matter which option, but early ones did not. Long & short of it, the first time the battery put enough
demand on it after a hard start & He tossed the headlights & blower on the cable started cooking then the fusible link gave it up. Car was maybe 6 yrs old & in good shape,
and Your car is how old?
Bottom line is there are many terminations with a lot of years on them, and even if they seem mechanically secure, it does not mean they are electrically intact. Time and
atmospheric conditions cause oxidation & material degradation, and You can't always tell just by looking at them. The OE wiring and system was barely up to the task it was
charged with(bad pun intended) for the low amp alternator it was teamed with when new. Don't play with fire, and if You're careless, that's what will happen..literally.
As far as a high output alternator "over-demanding" a regulator, it is exactly the opposite, a high output unit will have much less "ON" time & shorter duty cycles because
it can more easily keep up with the system demand. I haven't seen a mortal range alt. rotor exceed the capabilities of an OE regulator by current demand yet, but I haven't
seen everything so...................