This doesn't invalidate your point, but the motors in electric cars are also liquid cooled just like ICEs. The system is a bit simpler since you're cooling a motor and not an engine, but ultimately it's a water cooling system and needs gaskets etc.

Yeah, people too often say things like "there's no gaskets" or "there's no gears or oil". There are gaskets, there are usually gears, there is usually a lubricant oil in the gearbox. But the temps and pressures on the cooling systems are much lower, the gearboxes are fixed gear ratios, and there's no waste carbons in the oil dirtying it. So the service intervals of all of these are much longer than any regular ICE vehicle.

Most electric cars still have a gear box with gear oil lubricating it. They're usually fixed gear ratios so the wear and tear is much lower (not sliding gears around but on cars it's not normally the motors directly connected to the wheels.