However, if the OP's good reason was solely for DG abroad that's what he got granted, if the original application was for DG, UK Deer & Boar, it's possible the outcome would have been different
Per the updates I have posted, the sequence was as follows:
(1) Applied for .375 variation Autumn 2018 [I definitely explained that overseas DG was my
primary requirement as I did not hunt boar
at that time]
(2) .375 variation granted but with zero ammunition allowed!
(3) Intrinsic risk and unworkability of (2) explained and finally granted 40 rounds [non-expanding] for zeroing-only in October 2018
(4) Performed UK zeroing with solids and realised that .375 was not a hugely recoiling "beast" and entirely manageable [.375 has just 29% more ME than a 30.06]
(5) I then researched boar hunting in UK/Europe and realised the .375 would be ideal [it is the imperial equivalent of the European 9.3 standard used on boar there]
(6) Advised D&C head [Mounsey] of my desire to condition .375 for aolq. Her reply in 2018? Yes if (i) I completed an envigilated UK testing of calibre competence and (ii) Completed successful DG hunt
(7) All criteria in (6) satisfied by April 2019, variation submitted, Boar hunt booked for Forest of Dean in June 2019
(8) aolq declined. Wording used states "you have
sufficient rifles for Red deer and boar" [citing 6.5x55mm and 30.06]
So there are a couple of points to be made: I probably did not mention boar at time of original variation. My focus was getting the calibre for a long-planned DG trip. I did not think I would particularly enjoy shooting the calibre but it is the legal minimum for DG in SA. Once I knew it to be an easily managed round [see (4) above] , I realised that the .375 was also a good fit for that pursuit.
I cannot see how later application for a variation in use somehow invalidates the basis for that later request. That additional use was not in view at incept.
A secondary issue is the notion of "sufficient" firearms. That should be very worrying to any in the shooting world. Once again, the HOG advises that firearms licences are to be granted where there is demonstrated need.
In the Forest of Dean where I shoot, the manager there has had to track two shoulder shot boar onto adjacent lands. They were shot with 30.06. They recovered only one of two boar. The shot placement was good. The reality is that shoulder shooting a 250kg animal requires a larger calibre to ensure a humane stop. Once again, the HOG deals with the issue of humane shots and, per Orion's post above, allows for use of larger calibres. All of this data has been dismissed.