It's important to understand that HIT is a branch of the Army. Don't confuse HIT as some company that has any level of independence from GHQ. There might be some room, but for the most part, whatever GHQ tells HIT to produce, HIT will produce it. So, if by some chance GHQ picks up a sweet looking South African or Turkish MRAP with ToT, then yes, HIT will manufacture it under license. If not, then that is HIT's story.
I would say that of all of Pakistan's public sector defence firms, POF is probably the most independent, and that too by a slim margin. But the rest, e.g. HIT, PAC, KSEW, etc, are like the direct manufacturing arms of the Army, Air Force, and Navy, respectively.
That said, we may be seeing a slight shift in that GHQ may be sending some private companies, notably Blitzkrieg Defense and Metal Engineering Works, RFPs outlining operational requirements, technical specifications, etc. In response, these companies are using that information to (1) design something in house (e.g. Blitzkrieg) or (2) partner with an overseas company (Metal Engineering Works) to propose to the Army.
It would be a game-changer if the Army decides to basically 'outsource' the requirement to one of these private sector companies (or both). Such an order would provide incentive to those companies to continue design work in the area and perhaps even get others interested, which may result in Turkish and/or South African designs making it to Pakistan, albeit through local private sector vendors or joint-ventures.