Hello,
I took over Alen Barisic (I was working with him on this issue) post with additional information.
LM25011 is charging supercap to target Vout. After some minutes it does not regulate anymore and there is no way to force restart, power off neither.
The only condition that can trigger restart is when Voltage on supercap discharge down to less than 3V. In this condition Vss go low and the circuit can be re.trigger with a power off/on