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ITT stands for Inter-Turbine Temperature, as you point out.
Inter- is taken to mean between, while intra- typically means within. If you are looking at the engine as a whole, then yes, intra would be correct as the temperature taken is from within the engine. However, what we are interested in with ITT is the temp difference between 2 sets of turbine blades. We are not concerned with the temperature within the turbine blades themselves.
Maybe you are confusing the word turbine as used in the term ITT with the engine itself. In the term ITT turbine refers to one set of turbine blades or rotor, not to the whole of the engine, as in "the turbine engine".
Does that clear things up?
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