Yes, it is inconvenient (and likely more expensive) if you can't charge the car at home, or at work. Cities have electric street lights, but curb-side EV charging is rare so far. I guess that will change.
Heating the battery does need some energy, but heating the interior of the car (for the passengers) needs more. But driving needs most energy, of course. Electric cars typically have a heat pump by the way. Gas cars don't need that because they can use the waste heat of the engine, which is otherwise lost.
If that makes sense.
(I have a bias on singapore, because the car market/culture there is, in my experience, rather unique. Singaporians, in my experiences (which is a decade ago) - really treat their cars/car infra with a lot more care than the US due to how expensive it is to get a car there (for good reason)...
They 80%+ of the time back into their spots, their roads are clean and I dont recall seeing a dirty car in Singapore... They integrate green parking lots (vegetation growing through the X cobbles, plants on the sides of over passes - they SEEM to have a healthier relationship with the car than most)
They may choose policies that incentivize EV use to meet climate/environmental goals, but any sort of enforcement policy that mandates private citizens must purchase and drive EVs would quickly get shot down in court.
Citation? Have any been shot down in court? There are plenty of locations that have passed laws that all new cars be EVs after year 20XX (for example 2035 in California).
I suspect most of those will be reverted as overly optimistic, but for now, they are in place.
In terms of buying, yes, if all new cars must be EVs then an EV is the only thing you will be able to buy new.