While there's a good possibility for Turkey to mediate in good faith, India will be vary of it given Erdogan's previous statements on Kashmir, military ties and weapons sales with pak and the ummah brotherhood
Secondly, I wonder how exactly is Turkey in a position to mediate since it doesn't have any clout, significant economic/trade partner or maintaining a neutral stance wrt to India let alone being an ally or having friendly ties
Also, even if India & pak sit together to resolve the dispute or convert LoC into an IB...the west wouldn't allow it and would want to keep the conflict ongoing for several reasons
I don't expect India to ever have good dealings with Erdogan. Half the Turkish nation doesnt even have good relations with him.
As for clout, i always looked it simply as Turkey having good relations with Pakistan and that Turkey could potentially operate as an honest inoculator between the two. Truth be told its my moral nature that suggests such a thing, if its pure geopolitical rational what do i care if you guys nuke each other? I would actually look to sell you both weapons and profit from your hatreds and bitter feuds in the same way europeans do. Because if you want do take over the indian subcontinent you exploit and use the domestic feuds, just like the british did. But no, thats not my intention its a simple good natured suggestion and want.
West would allow us to enter Syria, we had both the USA and Russia threatening war against us. They wouldnt allow us to enter Cyprus in 1974, both the UK and Soviet Union threatened war against us should we do so. West didnt want us to arm Ukraine we still did. West didnt want us to support Azerbaijan, we did and they liberated their land. West with Russia didnt want us in Libya, not only did we enter we ended their ability to take over the government.
If Turkey of 80 million can do this, Pakistan India of 1.5 billion shouldn't keep saying this or that about whether the west allows, at some point you got to do what's right.