High oil consumption is a relative term. What do you consider high oil consumption?
A rotary is designed to burn oil much like a 2 cycle engine. While they aren't the same if you treat them the same you'll never be unhappy with a rotary.
The issue becomes one of how often do you check/change your oil? If you are a gearhead then you do it more often than you need to and you'll never have an issue. On the other hand if you're granny and check it once a decade then issues can develop.
The whole time I had my rotaries I never had a rotary use more oil than an older boinger. As a matter of fact I had boingers that used more oil than any of my rotaries.
And as far as needing to use high revs, well that's true of all high revvers. You can design an engine to be a torquer or a revver, but not both. I'd rather have a high revver as it gives me much finer control. Hence my dissatisfaction with my Miatae and my love of the RX7s and the S2000.
"mobilito ergo sum" I drive therefore I am!