Its not a problem of time. Plenty have been born into wealth that never had to commit themselves to anything to survive. Anything they did was self motivated of their own accord - they could have lived and died a consumer of an endless stream of money.

Its a problem of convincing the society that its not anyones place to dictate how someone else decides to spend that time. There will be massive resistance to any economic model other than the established scarcity based capitalist regime enshrined in most of the west for the last 150-200 years. Trying to ensure the fruits of the societies labor that led to that automation are properly apportioned to said society will be a long uphill battle against people of substantial greed that see automation not as a liberating force for humanity but as a source of permanent, infinite wealth allocation and centralization.