I mean I made a thready about MBTIy and ity was pretty obvious that INTP simply means intelligence. We know that is the basis of INTP. You cant really define INTP outside of intelligence.
So I challenge you to define INTP in terms of pros and cons to see if you can find a personality dimension of INTP that isnt somehow associated to the INTP intellect. I mean if you say stupid INTP thats like saying smart ESFJ. There is no way you can define INTPs outside of intellect. We are basically machines with a brain and thats all there is.
Here is something that implies the benefit of rejecting or de-prioritizing the "intellectual" preference in times of need.
Pro: ENTJ shadow
From my experience, INTPs in leadership positions have to revert to the supposed ENTJ shadow behaviors at least 20% of the time. Execs/stakeholders have this (sometimes valid) stereotype that things should get done through collaboration and diversified input, which, for an INTP, typically succeeds if you have and take the chances to gain a true connection with the people you're leading.
The combination of INTP thoughtfulness with developed E & J enables the long-term success of the initiative, I found, if intrapersonal connection becomes possible or even a given.
Then, things like interpersonal connection or public speaking become easier. Of course, in times when intrapersonal connection is not possible, i.e. you're giving a presentation to a room full of strangers, it may feel like you're just "winging it". But, practicing, like anything else, makes all the difference - You learn to read people's expression and notice that they are an immediate reflection of your enthusiasm, or, you'll want not to bore them with the details but inspire them with something relatable.
INTPs create the influential presence of stereotypical ENTJs without needing to be commanding - Rather, the merit of their intellect and thought leadership stands strongest and wins influence of those that know how to appreciate that. The beauty of ideas or an idea becomes more appealing than any forcefulness of hierarchical power. However, if a mission ends up not going as perfectly as imagined, planned, or discussed, I am on everyone's radar until things are absolutely perfect, and can get noticeably tense if I notice that someone is not pulling their weight.
(Re: Talking about ideas - This unfortunately sometimes causes jealously for ENTJs watching me. Still, they rely on my brain sometimes. I come prepared when they are scattered. The harshest I have ever had to be with someone was direct, and this still garners real trust. Probably because they can see that I was/am not hawkish in my intentions, and that I simply want things to move forward, for them personally and for the team. I have had to fire people. I made sure to speak with heart, because I did feel badly that I've had to do that. And, in many cases, the person at the end of it got a job that they liked better, that was more suited to what they liked to do instead of for the money. The typical ENTJ will likely rip off the bandage, whereas an ENTJ shadow will do it slowly as to minimize the peaks of pain, and achieve a better net result - maintained relationships rather than burning bridges completely.)
Con: Continuous need for development of emotional connection
The weakness, then, is the lack of preference for prioritizing emotional connection over intellectual resonance in talking to most people, as the typical "leader" might do. But, emotions are important. They cannot be erased and should not be ignored.