Earlier quoted context omitted.
I'm not sure Singapore's government falls under a military dictatorship by any means. https://en.wikipedia.org/wiki/Government_of_Singapore
When the dictatorship controls the military you can pretty safely say they're a military dictatorship.
A military dictatorship installs the dictator and the dictator relies on the support the generals to stay in power.
That isn't the case in Singapore (nor many other dictatorships, where the dictator controls the military).
You can tell by if the dictator has generals replaced, or vice-versa.