I cannot comment on the engine side until GE announced the contract for Hurjet officially but I do hope what you said is true. In order to get maximum TOT there should be a tender going on, as far as I know TAI has prepared 2 design for different engines to power Hurjet, American and European one.
Without an open tender, I dont see there will be huge TOT or local production given by GE. Same thing also happen with Indian Tejas, they dont get local manufacturing for F 404 engine despite ordering around 80 of them, this is why they want to work with Safran from France ( although it can be Safran just make assembling factory in India ).
I still suggest Turkey to work on engine for cruise missile and UCAV to develop capability on jet engine, this way it is more achievable and more production volume to be created particularly for the cruise missile one as it can be some where like 1000 engine being procured.
There is significant inertia between GE and TEI. That is also what goes on between Safran and HAL.
Open tender (w.r.t ToT) from square one is suboptimal compared to harnessing a known/proven inertia (given time, resource and capital spent so far) over a fairly large time period.
"ToT" in jet engines needs decade or longer partnerships among many sets of professional and lot of relevant capital acquisitions in that time period.
Engines have massive lead/lag times contingent on their platform production over time ...i.e the supply chain dynamics between engine maker and client platform production (its not matter of buying and stockpiling engines which would be ridiculously expensive).
None of Big 3 or medium 3 (in West) are going to give core IP/ToT from just open bid given this known and proven feature of the supply chain.
They (given they are essentially kind of a oligopoly) will negotiate to take to more phases with time in an MOU but make sure early phase is simple cash-heavy buying only to show you are serious about maybe strategy/leverage later.
Neither will a country commit to huge "all at once" agreement like that involving the scales needed (esp TR which has F-35 episode recently).
It has to be by way of strategic partnership paradigm or similar.
GE TEI makes the most sense in that regard for Turkey, its not surprising thats the route being picked for it in (long term use) jet engines.
The receiving country also needs to do many things on its own (again over a long enough time) to be able to absorb, process and deploy all this into long term autarkic-strategy.
Cruise missile engines (given single use) and UCAV engines (given thrust + size) have only some impact on what you can use there for large turboprops and turbofans as the design requirements in the innards cascade somewhat exponentially.
Turkey has climbed up the tree regarding those in fair amount commensurate to its capacity already.
How it will do so with the GE TEI collab (for the large heavy stuff) will be something to watch in years to come.