The second field has nothing to do with this, unless the alternator HAS A PROBLEM. This happens because there has been rebuilders who don't "do" things "as factory."
One scenario is that one brush (field) becomes grounded, either a broken insulator, a bad rotor, or A REBUILDER who left out the insulating washers.
A related version of this is a rebuilder who DOES ground one field and sells a 70/ later unit as if it's a 69, but leaves BOTH terminals with their spade connectors. This means if you "gamble" and hook the field up to the wrong terminal, it's a dead short for the regulator. This should not burn the fuse link, but it WILL burn up the VR.
This is easy to check. Just put your meter on resistance (ohms) and check for continuity between the two field connections (should be a low reading, 4-6 ohms or so) and then check from each field terminal to the alternator case. They should be OPEN no continuity.
Take a REAL good look at the alternator output stud. Is it loose? Insulator OK? Check it for resistance. Should be open (infinity) one direction, reverse the probes, should be a low resistance.
In this testing you are doing, you are trying to make the car exactly as "I drove it in here and parked it."
If the alternator does not show a light on your test lamp, hook it back up.
USUALLY something so bad that it burns the fuse link will show up pretty dramatically........damaged harness, burned connections, smoke, smell, etc.
Inspect your ammeter VERY closely if it's still connected.