But pulling the indicator bulb will fix.
So this answered my question, pulling the indicator does fix this issue. As MarkT stated, it's feed back through the other turn signal circuit. So removing the indicator separates the 2 circuits from each other.
A quick test. If it works, and your signals function as normal, then you know what you have to do to fix them.
Would it be easier/faster to add diodes on the indicator bulb then?