Just some points for TVC:
LCA has no canards , i would increase the control of the aircraft.
Also , take of and landing length can be reduced by a large margin.
Also there is 4-5% better fuel efficiency.
OF course there is the gravity defying agility.
But like you said , weight seems to be a issue , if the F-16 could not use it , it will be very difficult to get it to work on the Tejas.
WE can achieve superCruise with both engines. But only the EJ200 offers TVC.
The point that the US didn't use it for F16s doesn't mean that they didn't think it's a useful tech, because they did further development on TVC too. Everybody knows the TVC on F22, but initial development for it came through the X-31 project:
Rockwell-MBB X-31 - Wikipedia, the free encyclopedia
It know how they (US and Germany, which was a partner then) gathered though this aircraft was used for F22 and the EF too. The German companies that teamed up then are now merged into EADS!
The short landing that you mean, was a project they had with this aircraft, because they tried to use an computerised, automatic landing for possible carrier operations. They even were successful, but I guess it was too early and too complicated for that time. Especially, if you keep in mind that fighters in operational service will carry fuel tanks, or weapons too, what could make such landings difficult.
But you are right, for short take off and increased manouverability TVC would be a very good addition for LCA!
Another interesting point on the addition of TVC is, the possibility to get rid of the tail fin. This would reduce weight and RCS of a fighter and the US tried this out with the X-31 and later with the X-36 too:
McDonnell Douglas X-36 - Wikipedia, the free encyclopedia
We all know the pic of an tailless MCA prototype, so the addition of TVC on LCA could lead to such a future project too.
What I often criticised at the LCA development, is that they didn't team up with foreign partners from the start and even now, when they search for partners in AESA, engine, or carrier fighter development, I simply can't find a logic behind their (ADA/HAL/MoD/IAF?/IN?) moves.
They wanted LM for carrier fighter development and now want EADS, altough both don't have the know how for it, unlike MIG, Dassault, or Boeing.
They rejected Snecmas co-development offer first, but now are interested again, but wouldn't it be more logical, to team up with one of the companies that offers an engine for LCA MK2? Eurojet for example is offerint ToT and advanced techs anyway, so why not get their engines and combine it with a co-development for Kaveri engine?