I have a Frieman BE-OD and I cannot replicate the issue. My taps stay prominent whether the OD is on or not. What are you plugging the Rose into? Can you try with stock preset number #1 to see if you have the issue?
You can always back up your presets using EDM and try to restore Factory settings to root out any weird settings that may be causing the issue.
Keep in mind that if the HOTSWITCH is set to control LFO rate, then so will the auxiliary Tap Tempo switch. Make sure the HOTSWITCH is controlling the tap tempo and your aux switch will do the same.
Press & Hold the HOTSWITCH to toggle between LFO Rate (green) and Tap Tempo (RED).