A turbocharged engine will have very much lower compression than a natasp and will be tuned differently so it's not true to say it will have equivalent power until it comes on boost.
A mate of mine had a Lotus 7 replica (so light - 600Kg car) with a 270 BHP Cosworth Turbo engine.
That engine was on boost at an 80MPH cruise - that's how gutless it would have been without a turbo.
It was something else when given a bootful through the gears though.

With a light car it's not a problem if there's a bit of a hole at low RPM before the boost builds - it will pull through it quickly enough. Add another tonne of weight and it's a different story.
Personally, given that the V6 suits a heavy car better, and is available without any effort, it would be my choice. Having said that, get into a project like this and it's amazing what you learn. I just think an Omega might not be the most rewarding recipient of a LET.

Kevin