Fullers beer's are beautiful and if I died with 10 beers to drink as my last, two would be Fullers ESB and London Pride. Beautiful malt flavour in both. Malt flavour, that I doubt comes from a ratio of 300ppm SO4 and 0ppm Cl. I question the source that states they use such water. Wells on the other hand, I don't know.
EDIT - may I suggest you through some of the interweb info re water reports used by breweries past and present out the window or on the fire. Look at the recipe, think about the historical beers made in London and think about what you want out of the recipe. Historically London beers had a fairly balanced Cl/SO4 rate and many world famous styles (Porter and Stout for example) came out of London that are malty and not hop driven. If someone tries to tell you to do extreme ratios of any mineral for any supposed city brew water, take it with a shovel full of salt and look elsewhere for advise.
Palmer's ratio's for london water as below (not recommending them, but as a comparison to what you were advised by Beer Smith it is a fair difference)
City Calcium(Ca+2) Magnesium(Mg+2) Bicarbonate(HCO3-1) SO4-2 Na+1 Cl-1
London
52 32 104
32 86
34
2nd EDIT - A quick look at Michael Jackson's Beer Companion, shows that Wells merged with Youngs and all are brewed at the Youngs brewery in Bedford. If you are trying to do a clone of the Wells Bombardier maybe put up a post asking if someone has a recipe or tried it before. I'll bet there has been one done by someone. The blurb in the book describes Bombardier as;
4.3% Premium bitter - "A powerful citrus hop aroma is balanced by traces of malt and dried fruit that impart a rich complexity and a final bitterness to the taste" This description alone suggests a higher SO4 to Cl ratio, but I doubt it would be 300:0 or even 300:51 (6:1 ratio)
3rd EDIT - No need to post a new one. Found this one for you
http://aussiehomebrewer.com/topic/24542-wells-bombardier-recipe/