I would think it would be fine unless you wanted to really give it some large... in which case I suspect you'd want to be running on petrol anyway!
Personally I would err on the side of caution with this, you'll end up melting a valve or similar if it is allowed to run lean for any length of time. The way mine is set up I can bounce it off the rev limiter before shifting up and there is no discernible difference compared to petrol. I'm sure there is a small measurable difference, but it's close enough that I don't notice. I do flick back to petrol when I really want to wring out that last few BHP but that's pretty rare.
I should add that if you're setting it up with an AFR on the wideband lambda it shouldn't be so much of a worry, as you can bounce it off the limiter with the foot on the floor in say 3rd gear, and if it doesn't go lean with the right mapping under those circumstances it'll be fine.
You're right that running lean is bad news, especially in a heavy car like an Omega which can put a lot of load on the engine for long periods of time. Anywhere else on the map you can do what you like to the mixture without killing the engine if you're sensible but if you're going to have your foot hard down for more than a few seconds you need to see a comfortably rich mixture as that will keep the temperatures down.
If you hit the rev limiter the wideband reading will go all over the place as the ECU cuts the injectors, but I mapped my Westfield on public roads using a WB and it was a piece of cake. You could accelerate with the hammer down, watching the RPM and lambda and make a mental note of what needs adjusting at what RPM. If it goes lean come off the gas and add fuel. Tweak it with a laptop and repeat. Plenty of time to take it all in with just under 200 BHP in a 650 kg car, so an Omega should be ok
You can of course datalog it and then look through the logs but I found doing it by eye easier, with a laptop on the passenger seat to tweak the map.
Kevin