The best way to check yourself, whether you can do that "slight modification" in your resume is to try to use the modified degree name and check it against your college / university whether they can produce any result against that query.
In case they return a result with successful candidate and degree certificate, you are probably OK to use the altered nomenclature.
However, if it fails to return any result, that means, your university does not recognize the altered name and you would be seen as lying in your resume.
Although both terms almost mean the same thing and are often used interchangeably,[..]
That's your perception (assumption), it may not be true globally. Do you want to end up being seen as lying? No.
TL;DR - When in doubt, go by what is documented and can be proved if required.
However, many job opportunities mention that you need to have a certain degree or equivalent. Given that the prescribed degree is similar to what you have, you are free to apply but make sure your resume mentions the degree in a way that can be supported with relevant documents (grade sheet, certificates etc.). Whether the organization considers your degree to be eligible, is up to them. At least, you wont be seen as lying.