I don't think Te is anything like Ti, regardless of the perceiving function it's paired with.
In an abstract sense, they're much the same because they both make judgments based on objective material, but the internal workings of the functions are very different. Te seems much more mechanical and formal than Ti to me, based off of personal understanding and observation of Ti in others.
In fact, even though this is a different than normal interpretation, Ti seems almost more pragmatic than Te in some ways to me.
Te would look at a problem like this. Say you were ordering a mechanical part from a machinist. The typical Ti user would make sure that it's fit to the dimensions necessary to fulfill its purpose. This is also the case for Te, but it would be done by specifying an exact dimension, where Ti would prefer to use observation. This seems to be true whether paired with Se or Ne, and on the Te side whether Ni or Si.
Basically, Te seems more concerned with accuracy than precision, and Ti is just the opposite, more concerned with precision than accuracy.