Rotary engines make good constant speed engines because the intake and exhaust ports can be tuned for that constant running.
They're also ideal for alternative fuels like natural gas because the combustion chamber is in a different location to the intake/compression, which makes it easier to limit uncontrolled ignition (detonation). And the oil injection makes them suitable for adding specific lubricants to the intake charge.
On the topic of giving engines a good dose of WOT and revs, all modern direct injection cars need this as the loss of port injection means that the intake runners and valves are no longer given a constrant stream of fuel to clean them. As some exhaust gases enter the intake runners when valves overlap, over time this leads to massive carbon buildup in the intake side. Google some pictures of Audi engines with carbon deposits - makes your eyes water.
So if you have a modern direct-injection petrol injection make sure you give it a good 'italian tune up' on frequent occasions as well.