If you bypass the Input block it will mute.
Lower the 'Threshold' parameter all of the way to turn off the Input block 'Gate'. I doubt that you will like that setting? I recommend the lowest value that blocks hiss, hum, cable and handling noise.
You may need to use a second Input block channel with a higher 'Threshold' and 'Ratio' setting for Solo scenes, if the added gain and volume causes too much noise for your rhythm scenes gate settings. You are less likely to run your guitar volume down in those situations anyway.