Yes. It should.
We all have seen the videos of brahmos, trishul, AAD etc. and those videos simply lacks the effect it should have on the viewers. Also, more than half of our population just don't know what DRDO is! If they know, many don't know what they do or what kind of progress they make.
DRDO, HAL and other defence research and development orgs. have indeed set quite a few extraordinary milestones, but except for few notable incidents like LCA, Trshul, Prithvi, Agni, Arjun etc. - the big guns - the general populace is not aware about them in whole. Let me tell you that many of my friends don't know that LCA and Tejas is one and the same.
I said these stuff to make the point that this lack of awareness among the populace means bad PR or complete lack of it. A good PR firm would glean every bit of info. to get the clients' maximum advantage. In my PR class my prof. said that a informed public is a happy public (or something of the sort, never been an attentive student). information garners confidence; and if our tax-payers know what their country can get indigenous is equal to what they will get by import, there would be less fan-boys in forums rooting for imported toys and support for our R&Ds. For example, I didn't know much about Indian defence and etc., was unaware of USA's various legalities (golden sentry etc.); and without knowing them or the qualities of F/A-18F/F Super Hornet I wanted it to win MMRCA. Now I want Rafale. Like my friend can't care less what sort of Air defence system India is paying Rs. 10000 crores for, or that DRDO claims to be able to build similar indigenously.
A PR firm would have made sure to get proper news coverage - adequate space and time - of DRDO's indigenous efforts, without needing DRDO to go for a mud-slinging match against AF or MoD.
And also, in truth no in-house govt. PR can match a client and profit-oriented private PR org.