A typical fairly modern city bus is geared to top out at low highway speed. Having the maximum amount of acceleration is possible for a vehicle that is pulling in and out of traffic all day which is why they are geared so low. Buses will happily roast the tires from a stop (an impressive sight, I highly recommend) if not electronically prevented from doing so peak power is basically available as fast as the transmission can shift down a gear or two.
Acceleration in practice is primarily limited by the cargo's propensity to complain and secondarily by the coefficient of friction between the tires and the ground. Regardless of EV vs ICE these limitations are going to result in electronic controls that prevent the driver from getting an instant response when the hammer the throttle it
Maybe on a long, hill climb near top speed you'd run out of power but that's a peak power limitation issue and EVs will have it too. Commercial people movers are only ever lacking for power when they are intentionally spec'd out that way.
The "muh torque" circle jerk really isn't an advantage of EVs except when you're intentionally making a lopsided comparison (Model S vs Civic). Besides, as much as I'd love to see a bus twist and lift up a front tire leaving a stop I assure you the average person does not want to be subject to that kind of acceleration so both the EV bus and the ICE bus are going to get an electronic nanny between the go pedal and the power source.
There's only one deficiency with EVs compared to ICEs, and that's energy storage. On every other metric, they easily win.
eBikes with mid-drive motors like the BBSHD also have this kind of torque, it can be really fun to ride them due to that. With electric motors, you choose between torque and top RPMs based on how thick your wire is, the thicker the copper the more torque you'll see (and consequently, lower top speed).
Trolleybuses are great for hills because they are constantly drawing power from the grid. It’s why Seattle has committed to trolleybus expansion for its hilly network.