Its more about how the 'power' kicks in.
If anyone has ridden a decent sized 2-stroke bike its the same, and like a diesel the power kicks in at lower revs.
But to compare like-to-like, I've owned a 309GTI (1.9 8v), a BX 16v (1.9 16v) and a Xantia TD (1.9 diesel).
The 309 had a very wide powerband, and would pull from low down in high gears through to nearly 6000rpm; the BX had nothing below about 4000rpm, but would happily run to 7000rpm and the Xantia ran 1500-4000 with barely any difference in feel across the range.
But my current petrol, will pull from 1000rpm through to over 6000rpm – with instant power at any time – I prefer petrol.