Would this be a neutral accent?
YouTube - English Accents (Indian)
In my opinion every language has it's own accent based on where it is spoken and there is no neutral accent. There are many former colonial countries that still have people who speak impeccable English, but still there is a trace of their native language or style in their accent. I have seen expats living in these countries for 10 years starting to speak with the same accent and use localized words in English. I think Singapore is one of the best examples of good English with a local flavor.
As far as Arab pride, best of my Knowledge English is the second language and not necessarily mandatory. Therefore it is only normal for them to pick up the accent that they are most exposed to.
Best said by a previous poster, if you understand them and can communicate where is the issue???