A Larger Gibraltar

We had one of our semi-regular should Britain give Gibraltar back to Spain thread in the Chat forum the other week and it got me thinking, how might things be affected if Gibraltar was larger? For the purposes of the thread we'll assume that rather than just the Rock as in our timeline the Anglo-Spanish border set out in the Treaty of Utrecht is roughly a mile and a half further north running instead along what is nowadays the northern boundary of the Spanish city of La Linea de la Concepcion and that it's the British who build a defensive line there. That would increase its size by almost four times and if it became as settled triple their population. Now aside from how the character of territory might be changed would the British be able to hold on to all of it or might they end up losing this extra part at some point in the future?
 
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