Well, indeed. Pursue away, if you have the energy. A word of warning though, don't do it if you haven't got the headspace for a head fuck.
It's very likely given the latest response that you will find a no win no fee parasite willing to take up your case. Which doesn't mean you will win. If, in your capacity as domestic goddess, you have the time and feel inclined to play a tricky game of chess without taking any of the outcome too seriously, it could be hugely entertaining. Making yourself sick and having someone else waltz off with the majority of your payout is not a good plan. This stuff is much tougher on the client than it is on their legal representative. Know what you are getting into and if you don't like the flavour, walk away. Mx