For an arbitrary definition of "function". I don't think a modern phone would achieve a meaningful function at that level. The cellular modem alone blows past that budget many times over. Even an old rotary phone went over 1W.
Apple's efficient 5G "C1" modem used in the iPhone 16e is still at ~0.7W. The Qualcomm models used in the iPhone 16 are 0.8-0.9W.
Today we juggle with ~15+Wh batteries (the "capacitor") and 30+W fast chargers (the "power source") and still need better.
But for the question asked higher in the thread, it would never be comparable to a "real" battery. This would be a very special purpose battery.
For example, in the past cardiac pacemakers had been used with nuclear batteries. However, there is a risk that the pacemaker will be “forgotten” after death, and something that is actually radioactive hazardous waste will be disposed of via crematoria or cemeteries.
Another area of application for nuclear batteries is space exploration.