I dont think so, too much went wrong with the last tyre war.
One manufacturer will excel at a particular track or weather temp and ruin the potential for close racing. With a control tyre, it takes away a variable that the teams have no control over or can improve on anyway.
For example, i would hate knowing ahead of time that if its a cold-ish week in brazil that the redbulls with have suddenly have a performance advantage over the other guys. Or, If its blisteringly hot, The fuzz will tear up Shanghai because they treat their rears well.