Different types of manipulation, but both can excel at it in certain individuals.
Ti-Ne or Ne-Ti manipulation was rather well characterized in the movie "Catch Me if You Can'". They can play with perception and internal ideas to influence what you think. They are be quick to pick up on linguistic nuances and copy these to achieve various ends. This approach is skilled at controlling the internal perceptions of others to achieve personal ends.
example of INTP or ENTP manipulation style
I agree that Ni-Te or Te-Ni manipulation is more strategic and focuses more on external behaviors. I knew one perfectly nice INTJ who enjoy conceptualizing ways to control behavior. For example, he knew an individual who weighed 500lbs and who lived in a parasitic manner, so the INTJ enjoyed conceptualizing treadmills that would reward such an individual with intermittent snacks, but maintaining less calorie intake than expenditure to effective control behaviors. An INTJ that desired to manipulate could easily study behavioral therapy and then apply its principles. Sheldon Cooper demonstrates this.
example of INTJ or ENTJ manipulation style