Having read Bullivant's proposals for Birmingham and also having a "pretty good" idea of the situation in Coventry, I would say the chances of the same thing happening here are very slim indeed.
As it happens there was a newspaper war in Coventry in 1963-64. It was between the Coventry Standard and Coventry Express. Both were weekly publications. The Standard was printed in black & white as was as dull as dishwater. The Express was printed in magazine-quality colour, brash, exciting and very popular. I asked my dad what happened to the Express and he said that Lord Illife invoked an ancient statute which gave his family the exclusive rights to publish any paid circulation newspaper in Coventry. I don't know if that was true or not? In any case the assets and colour press of the Express were acquired by Iliffe who used them to publish a colour version of the Standard (still as dull as dishwater and ultimately doomed) along with occasional promotional covers for the Telegraph which Iliffe also owned.