IIRC, when I did my initial training with DanAir in the 80's, the advice was that it was not a 'recommended' necessary stop (737), subject to weather, runway length, speed at the time etc. and the stock answer to the next question was - "that is why the Captain is paid to be Captain and has 4 stripes on his shoulders".
My decision would depend on several factors. It is an unlikely event and again comes into the 'double emergency' category - triple, in fact, assuming a serviceable APU/generator.