The electric motor is simpler than an ICE, yes.
OTOH, a modern (and by modern I mean anything in the last ~30 years) ICE engine is supremely reliable, so it's a wash.
Most repair time isn't from having to fix the engine or motor anyway, it's the whole rest of the car.
We have a a Fiat 500e (EV) now sitting it's fourth week (not continuous) at the dealer to get window regulator problems fixed. Those types of problems have nothing to do with whether the car was an EV model or the ICE model.
Pretty much all modern brushless power tools, while mechanically simpler than their brushed cousins, require a full motor and control module replacement when something as simple as the switch fails.
Don't get me wrong, I do believe that electric propulsion is the future for efficient transport and that gas isn't a long-term solution going forward. It just seems to me the marketing and hype have gotten ahead of the current offerings, and I worry the 'scrap it and get a new one' approach employed often by tech companies will end up being applied to cars as well.
There is no extra capacity producing spare parts to sit on shelves.
I'm sure they have complicated electronics, but most modern cars do as well and those aren't components people typically work on.
Just consider the electric vehicle has no transmission, no drive train, no oil. It doesn't have most of what cars have under the hood.