Intel's licensing and their names can cause confusion. This page hopefully helps inform us about Intel's license and its intents.
See also
From Intel's FAQ
https://software.intel.com/en-us/articles/non-commercial-software-faq#3
Q: I am engaged in research projects. Can I qualify to use the noncommercial product?
A: If you, as an individual, are receiving any form of compensation for the research project (i.e., you receive a salary, or funding, etc.) you do not qualify for a non-commercial license. However, if your research is a personal project for which you are not getting compensated in any way, you do qualify for a noncommercial-use license.
https://software.intel.com/en-us/articles/non-commercial-software-faq#5
Q: I am a professor. Can I use the non-commercial product as part of the coursework I teach?
A: No. Teaching is a profession and you are getting compensated for it. You may, however, qualify for the academic license. (Click to education offerings page)
https://software.intel.com/en-us/articles/non-commercial-software-faq#6
Q: I am engaged in academic research. Can I use the non-commercial product?
A: If you, as an individual, are receiving any form of compensation for the research project (i.e., you receive a salary, or funding, etc.), you do not qualify for a non-commercial use license. However, you may qualify for the academic license (Click to education offerings page)
https://software.intel.com/en-us/faq/licensing#compilers-differences
From Intel's license agreement
https://software.intel.com/en-us/articles/end-user-license-agreement
...which resolves to:
NONCOMMERCIAL USE LICENSE: If You obtained the Materials under a noncommercial use license, You may use the Materials only for non-commercial use where You receive no fee, salary or any other form of compensation. The Materials may not be used for any other purpose, whether "for profit" or "not for profit." Any work performed or produced as a result of use of the Materials cannot be performed or produced for the benefit of other parties for a fee, compensation or any other reimbursement or remuneration. You may install copies of the Materials on an unlimited number of computers provided that You are the only individual using the Materials and only one copy of the Materials is in use at any one time. A separate license is required for each additional use and/or individual user in all other cases, including without limitation, use by persons, computer systems, and other methods of use known now and in the future. Intel will provide You with a license key that enables the Materials for a noncommercial use license. If You obtained a time-limited noncommercial-use license, the duration (time period) of Your license and Your ability to use the Materials is limited to the time period of the obtained license, which is specified on Intel’s download website, specified in the applicable documentation or controlled by the license key for the Materials.
FYI: Intel software free to HigherEd researchers "Performance Libraries":
https://software.intel.com/en-us/qualify-for-free-software/academicresearcher