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How would that make a difference?
Adding a 1meg resistor across the input can help. The thump is typically caused by a DC offset between the guitar and the amp(s) and the resistor can help by directing that DC to ground. If it continues to be an issue, you may want to look at a buffered a/b switch. They're a little more complicated, but it will solve the problem.
For anyone reading this, yes they will work. Just ignore the "ring" connection.