Yes Jimnys take a little longer to get up to speed, but if you're test driving, it should rev up quickly so you can skip though the gears.
The art is to stick in the power range of 3500 - 4200 as much as possible, don't be shy to wind them out every now and then.

Jimny engines don't make a lot of torque, but they're a free spinning, high revving engine that will happily sit on 4200+ rpm all day, not a problem.