They're good examples of the same problem. According to Hall, Fitzmaurice had his leg broken at the storming of Badajoz and 'Received one years pay and a permanent pension of f50 per ann. A Ball in the thigh at Waterloo, 18th June 1815, received one years Pay as Captain'.
And Cox was wounded in the right shoulder at Vimiero 'for which the Patriotic Fund presented me with f20'. Wounded in the left arm at the storming of Ciudad Rodrigo and received a years pay as first lieutenant. Left leg badly fractured by a Musket ball at Tarbes in 1814 for which he received a year's pay as 1st Lieut and f50 from the Patriotic Fund and was granted a temporary pension of f100 which was made permanent in 1825 having been twice inspected by the Army Medical Board in the mean time'.
This rather suggests that the year's pay was for a serious wound not expected to lead to permanent ill-effects; and that the pension was for permanent injuries - although not ones which prevented further service.
(Sorry for using f for a pound sign, but seems slightly closer to the mark than GBP)