Each output of the ignitor can fail separately. You're looking for the new style ignitor for the classic triples. It is a small box on the front of the battery. It will have the male pins molded into the plastic housing of the ignitor. The older ignitor has a pigtail coming out of the housing with a plastic molex-style connector.
As far as I know, the same style ignitor can be interchanged between TBS, TB, and Advent.
Quoted from MickMaguire:
"for the record there were 3 (IIRC without my fiche, somebody shout if I missed one) different styles of ignitors used on the classics. The first one was in a rugged square case, the second had rounded ends but was still flat and square. Both of the first two types had a lead which plugged into the harness. The final type that Avatar has is almost identical to the Bonneville ones (pity those guys) where the harness plugged directly into a connector moulded into the unit and was an irregular shape."
Here's a pic of a replacement for the Bonneville ignitor taken from New Bonneville.com:
Your's will not say procomm on it and obviously the one in the pic will not work as it is for a twin. That is what they look like though.
Hope all this helps. Check Triumph-Ant, Sprint Manufacturing, Ebay, and Baxter Cycle for used replacements. You could even try to swap with a member in your area to confirm that it is a faulty ignitor.