in my opinion, no. ive worked for the last 5 years doing insurance litigation, RTA PI work.
with fully comp insurance, if someone else damages your car and wont carry out the repairs for you, you claim on your insurance who will then pursue the other insurer. due to your insurer having lost money, they will then, if necessary, commence claims against the other party or their insurer and the job is done for you
legal cover will normally cover you for uninsured losses... which can simply be tacked on to your normal claim against the other insurer anyway. they also add a load of guff about 'in the event you are injured'.... well if you are, go to one of the millions of 'no will no fee' ambulance chasing companies
the only thing i can see that 'legal protection' gives you is that it will make arrangements for a 'no win no fee' company to make a claim for you... which you can do yourself for free.
i dont have it as i dont beleive there is anything to gain