What Jung called extraverted intuition (Ne) is going to be the main "product" function in tech, with extraverted sensing not as common in the industry. Ne appears in Ti-Ne/Fi-Ne/Ne-Ti/Ne-Fi (what MBTI calls resp. INTP/INFP/ENTP/ENFP). In other words, the xxxP types are going to correlate with being product people. Steve Jobs was practically raw Ne.
The stereotyped "Silicon Valley Programmer" that every company wants to hire is introverted intuition primary and extraverted thinking secondary (Ni-Te, what MBTI calls INTJ). This archetype is quick-witted and naturally good at verbal/logic challenges.
To really, really, really simplify things, with xxxJ vs xxxP, you essentially have a dichotomy between speed on the one hand and (external) depth on the other. External depth being advantageous because the world itself is external. The current standard for interviews is essentially to judge speed, so of course this has the appropriate consequences. Which, by the nature of the particular elements involved, rapidly runaway.
Speed is quite easy to see and understand. Depth on the other hand is harder to pin down. But it is depth, and the vision that often carries it, that can render fine details onto a product. Those details can be so small that most people don't see them, so general appreciation of this power is rarer, and by its nature harder to test on top of it requiring a longer time horizon to work in.
Many people will think that you can get both qualities in a single person, but it doesn't work that way. Evolution would have done that long ago if it was possible. Instead, what we're dealing with are fundamentally different brain topologies/strategies, essentially characteristics that species can min-max in individuals because of the survivability allowances afforded by their ancestors having been social. Or who knows. Regardless, these are the same types of trade offs you have in data structures/algorithms.