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This is what I mean by a "pin". The solenoid pushes this valve in when it's engaged to lock your trans. It's milled differently from a stock valve. What we keep calling a TB solenoid is a modulator valve on a stock auto trans. It's run (usually) off a vacuum line and changes flow of fluid in the trans depending on how hard the engine is working.

If this piece is sticking or the return spring is weak, it would slow your TB response time.

This part is from a TH 350 TB from TCI.