BST was the 2nd (and last) job I leveled to cap in FFXI and taking it up was one of my favorite experiences in gaming. I took on the job as a sort of "last hurrah" after leaving XI months earlier to free time for the impending arrival of my first child. BST gave me the ability to play XI again in an environment when "at any moment" AFKing became the norm for me. Once my BST hit 75 I was amazed at the Power the job had in certain situations, and I admit I was a bit disappointed that it wasn't included in the initial release of XIV.
But, as mentioned, XIV will give us the freedom to solo any class... so the need is somewhat diminished. I'd still love to see it return, and I remind myself that BST didn't come until the second round of jobs in XI. I would be surprised if pet classes don't make an appearance in XIV eventually, and I'll keep my toes crossed that the great gameplay we found in Beastmaster is echoed in whatever pet class job we see in the future.