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I have a good friend who owns one of these, which when he had HOLTS value his .25 Standard and his Millitary Pattern () back in 2012, he had them value his LJ pistol, too.
HOLTS recommendation back then was to enter it for auction with a guide price of £900 to £1,250, but with a bottom-line reserve price of £850.
My friend still has said pistol, however -- along with both his examples of the aforementioned BSAs as mentioned -- as he elected to move on his comprehensive collection of post war BSA and Webley rifles, instead (he kept all his over-lever Webley pistols, too, btw) ...
I am due to see him over Christmas, so I will moot the subject of sales with him, but to be honest, I wouldn't hold your breath, and if he does say yes, think you'll not get much change from the thick end of £1,300?