In theory I can dig out the Bermuda and after a mighty struggle, keep it out.
Theory in my area is that your theory is well past urban legend category, and somewhere even south of major psychotic behaviour.
At least here, and probably there, bermuda roots extend to below the frost line (about 3 feet deep) and can go to similar depths to come under minor barriers like concrete foundations. Roots not killed can reach the surface a couple of seasons after the original "digging out" - and perhaps even longer.
The Ag station here, where they maintain a number of test plots with pure single plant species for turf testing purposes, recommends Round Up as the only practical method of getting rid of bermuda, with periodic applications on a "barrier strip" of bare soil to keep it from growing back in.
For removal before planting anything new (like a new lawn), an application should be made after the soil is warm enough for "green grass" to show growth. After a sufficient pause to see what comes back - usually about 3 weeks, a second application should achieve nearly complete removal of the existing bermuda. Although the package instructions say to wait a couple of weeks before planting, my Ag Dept expert says it's safe to plant "most things" a week after the last application.
(With bermuda, better eradication often is achieved in the fall, since it grows more actively after the hot season as the weather starts to cool.)
Once a "bermuda free" area is achieved, about the only thing one can say about re-invasion of the stuff is "Good Luck."
But then I've always been an optimist about planting things.