The SH will be obsolete within the decade with respect to the IAF. And compared to even the Rafale F3R, it's already obsolete. By 2030, the USN will start receiving the NGAD and will proceed to buy 30-50 of those every year, so most of their SH fleet will likely be gone by 2040. The upcoming Chinese threat will require the USN to introduce new capabilities, which the SH cannot deliver. So what's obsolete to the USN will naturally be obsolete to the IN.
This post has been updated to clarify comments from Bryan Clark. After nearly a decade of fits and starts, the Navy has quietly initiated work to develop its first new carrier-based fighter in almost 20 years, standing up a new program office and holding early discussions with industry, USNI...
news.usni.org
Anyway the IAF is not going to sacrifice its own requirements for the IN.
The SH is a carrier aircraft, it has a heavier undercarriage and is not suitable for an environment like the Himalayas, where the heavier than necessary aircraft is going to suffer maintenance problems in high altitude bases due to its basic design. It's best suited for a marine environment. During war, the SH will suffer from a spares problem when operating in the mountains. Furthermore, its performance envelope is unsuitable for the mountains. We need aircraft that can go vertical at the drop of a hat and zoom climb from most altitudes in the rarefied air, which the SH isn't capable of doing. Of all the MMRCA candidates, only Rafale and Typhoon are capable of meeting performance requirements that are actually needed. And, as mentioned before, the SH is going to be withdrawn from service quite prematurely in the USN. So the SH definitely does not meet the IAF's performance or support requirements.
As for the IN, frankly, their current carrier plan sucks. They need a proper nuclear-rigged carrier, they shouldn't be wasting time or money on a conventional carrier.
Their current fighter jet plan sucks as well. Neither SH nor Rafale are suitable for the IAC-1 and Vikramaditya. The IN needs an aircraft with an 8m wingspan when stowed. Anything else will fail. They should pin their hopes on TEDBF instead, and upgrade their Mig-29Ks with LCA Mk2's avionics. Perhaps even order an additional upgraded squadron. Thankfully MRCBF is being considered for cancellation. I'd actually like to see them entering the NGAD program (as an importer, not a partner) for the third carrier, they will need at least 70-80 jets. It's already flying as a TD, and it is deliberately being designed to operate in the same environment as the IN operates in and meant to fight the same adversary the IN is facing.