Electrically, Plug A simply shorts all those wires together, and the current goes directly to the transistors (and other places). Separating them would not make any difference.
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The prevailing sentiment here amongst experienced techs and restorers is to fix the immediate problem before making other changes. While it’s tempting to fiddle around ‘while it’s open’ and waiting for parts, by making other changes you complicate the situation, sometimes exponentially.
If it was working or close to working before you started repairs, and the red plug shows no sign of being part of the problem, leave it alone. It’s just a shorting plug and jack. Very little can go wrong, most people don’t require it, and the soldering looks original.