This are not my words but what fig experts say, if that tree was mine it sure as heck would not get pruned..We have a good friend that gives us free reign over his 40+ year old Celeste, it has never been pruned, and my Wife picked over 1500 (that's right, fifteen hundred) figs off of it this year in our most drought stricken weather since they started keeping records, 116 years ago...Below is what they say.
" Normally, figs are pruned very little. Mature Celeste and Alma trees should not be pruned since this will reduce the crop size. Mature Everbearing varieties will produce a fair crop following heavy winter pruning or freeze damage. Dehorning figs encourages rapid growth and will increase water stress."
Here is a link to what the pros say