On the road -- you do what you need to do to be safe. I used a Fenix L2D Q5 in strobe mode on my helmet. Really works. You can point your head towards motorists that don't see you in any direction, which is a huge advantage. You can also point it away from cyclists and be courteous.
On the MUP after dark -- I do not see any reason to use a white blinkie on the front. Any normal light on continuously makes you plenty visible without embuggering fellow cyclists and peds. In daylight, I don't care but at night it's a real hazard on MUPs.
And as LED lights are getting brighter, this is becoming more of a problem and we are just getting started with bright LEDs.