I'm intrigued Danny, are you saying that your extractor has a socket on one end for tightening the BB bolt?
Yes; it's not clear from the original photo, (see my concerns below), here try this one:
Basically the Crank Extractor shown here, unscrews into two component parts, you can reverse and refit it together etc., depending on whether you're
EXTRACTING the crank bolt, (and crank itself), or
TIGHTENING it. It's an ingenious little tool, and you actually have to play with it to 'get it' as explaining in words doesn't always match up to the photos available, (need an exploded diagram) - but I assure you, once in your hands and the two parts unscrewed and refitted all becomes clear. (Pretty sure you get a little instruction leaflet with them too).
Anyway, the bottom portion, (the bit where the
syscycles.com name bleeds into it), is a socket head (14mm). And
WILL fit the crank bolt easy-peasy, that is recessed in the crank. First unscrew the top part of the Crank Extractor, (although it can be left in situ if preferred), and simply fit the socket head part over the crank bolt. Look closely and you will see halfway up the Extractor where the socket head has 'flats' - these are provided for you to apply a spanner to it, and thus tighten the crank bolt. If you ask the Halfords bicycle staff, (or your local bike shop), to show you one, they might be able to demonstrate it too, if the above is unclear.
Is it the exact same one you provided the link to?
Upon reflection I'm not sure I like the one in the original photo in my original posting way up above in the early part of the thread - it may be one for the Shimano Octolink funny business. Mine's closer in resemblence to the photo in THIS post I'm writing now, (see photo in above para ie., this one from SJS, (b/brackets axles ending in a square taper):
Budget Cotterless Crank Extractor with 14mm crank