Just wanted to add...
In his answer to "Should Indian Navy Join Anti-Turkey War Games with Israel and France? Vice Admiral Shekhar Sinha (retd) said, “I don’t think the Mediterranean is our area of interest. I think India’s area of interest is in the Indo-Pacific, as the government has repeatedly made it clear, more specifically the Indian ocean. So, right now, I don’t see that happening."
We gain nothing by such a thing (picking 10+ million population over 80+ million one in absolute way or vice versa) in area so far from our security concern and threat realm....especially at our (still too low) current development and power level that needs to be ably prioritized and concentrated (to grow more) rather than spread thin and prematurely.
As whatever level of antagonism has been added by Turkey current administration for its relationship with India (and anything perceived vice versa), it is to be noted:
A) India does not recognise the WW1 events regd. Armenians as "genocide"
Turkey is far more invested in security relationships, threats and "love and hate" affairs with all kind of countries that do recognise this. It is one indication of many of India institutional policy to not intervene in such way in countries issues, especially those far from us and in modern political setting now.
B) India enjoys healthy trade relationship with Turkey.
Much more than Greece. (even relative to population levels).
Total trade India does with Turkey ~ 9 billion USD per year.
Total trade India does with Greece ~ 600 million USD per year.
It is to be noted per capita, India exports significantly more to Turkey than other 2 "shared-religion" large pop. countries in South Asia.
India exports to Turkey = 7.5 billion USD
BD exports to Turkey = 500 million USD
PK exports to Turkey = 300 million USD
One can account for the population difference sizes (about 7 times less for BD and 6 times less for PK).
These numbers can all be found in UN Comtrade website.
This speaks to bigger relationship (soft-power, culture, manufacturing relevancy etc) past certain prisms that find currency among whichever prism-enthusiasts.
C) India strongly supports Turkey territory integrity.
This again is unlike lot of countries that get involved in this in physical demonstrable ways (that again Turkey has much stronger relationship with in other ways compared to India at this point). I think most Turks understand that.
D) India recognises Turkey as fellow secular republic with democratic system.
All (political) administration-related differences wax and wane as they come and leave power. This should never get in the way of larger broader relationship of the larger society and people. As the earlier points all illustrate....and also what many pan-islamist and proxies of that nature (that colour relationship where muslim-majority countries are found inevitably) often (openly) think of Turkey's founder Ataturk.
These folks are often strangely silent w.r.t situation of (Turkic) uighurs.
We have seen this (and more) in all kind of forums....driving wedges in all kind of actual ways (and being significant part of creation of this forum, one that has fair rules and principles based approach, rather than agenda-hypocrisy selective application nonsense).
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So while there can be potshots at whatever conferences organised by whatever media people and segments of "intelligentsia" etc, they are small drop in ocean of the whole things governing this.
They often (predictably) understand little to nothing about the sequence of priorities of these points A to D that would need to be changed big time well before practically applying what they dream of and call for in some reactionary emotional driven by thinking politician/leader/admin is be-all end-all on every matter under the sun between nations and countries. This is where fascism tends to drive sustenance from when actual institutional power is compromised on it (agenda of few to fully drive the reality of many)....but that is much longer topic to get into.