Your ability dictates your doctrine. What you can and cannot do.
Credible minimum deterrent means you don't need thousands of nukes to deter the other. You do not plan to fight a war using nukes but rather as a credible punishment if struck with them. In a sense nukes here are political weapons and not military.
With a counter force doctrine its about total war. You intend to fight with nukes like other arms because you have so many to begin with. You can make nuclear threats over conventional attacks.
During the berlin airlift there were 5,000 marines in Berlin managing things. They were surrounded by tens of thousands of Soviet troops nearby. Would not have been difficult to take out the marines and stop the Americans but the Soviets never did because the threat was a nuclear strike on Russia if they did.
Both UK & France went nuclear by the early 60s because Nikita had threatened both that his missiles could reach their capitals and they feared an isolationist US may not come to their help. In such an event both UK & France would be operating under a credible minimum doctrine.
However within NATO, UK nukes would be under American control. When one goes they all go. With France the Americans don't have control of French nukes but the French don't have autonomy either. They would be operating under counterforce in alliance with the US.
In a way you are agreeing with me. Ability dictates doctrine
You mentioned limitations of delivery tech. I'm talking raw numbers. If you don't have enough your options are limited. They would be deployed to protect your assets and would not be free for discretionary use. Hence why both China & India are no first use. Because they don't have enough for a first strike as they are reserved for a response to one. If you get what I mean.
Neither India, Pakistan or China can prevent a conventional war from breaking out with the nukes they have. Two examples.
Kargil was more than a border skirmish yet the Paks were not deterred from starting a war over it. Revenge for Siachen who under Musharraf a decade earlier was lost.
After the parliament attack, Musharraf said if one Indian soldier crossed the LoC he would nuke India. This charade continued until the first raid in 2016 which they denied happened and the second raid which saw an attack in Pakistan proper. Again they played it down.
Pak nukes did not prevent the conventional Indian raids. More troubling for Pakistan since they claim first use but blinked when tested.
Another example is yom Kippur in '73. Egyptians attacked Israel. They had to have known at a minimum the Israelis had the ability to deliver a nuke or more with their jets yet were not deterred. Why? Same reason.
Now if Iran hypothetically gets nukes the Israelis say Iran can use nuclear blackmail against Israel. Like was said about Pakistan.
Nope. Not a damn chance. Israeli jets will attack Iran. Nukes or not. Because nuclear can't deter conventional. A bigger Balakote yes?
But I've not succeeded in getting Israelis to agree