Theories need to be pushed as far as they can go before deciding they no longer apply in a given domain.
Everything which is not forbidden, is compulsory.
Beyond the five requirements:
Logical alternative; have to explore to get a complete treatment
It has many tests; temporal quantization is an experiment factory.
If not true, still may show preferred frame of some kind
Lots of amusing mathematics: Morlet wavelets, discrete paths, and so on.
It provides a natural starting point for investigation in other areas where time is important, i.e. quantum gravity, quantum computing, and quantum communication.
Natural starting point for investigations of quantum gravity.
Fuzzy time is fun; suggestive.