You do know economic circulation is nothing but a circle jerk.
How you can start that economic circulation going? To do that, you must have the initial sum of USD to be able to start. Then you will bleed USD in every little inch of economic activities, which would result in imbalance of equity and you will need influx of USD to get that circulation going.
Use your own example. Buying Crude Oil, you don't just buy and use crude oil as in you put that crude oil in your gas pump. Meaning the "Spending of USD" will not stop after you purchase the crude with USD, you need to process it, turn it into economic activities and able to resell those economic activities. All those activities you either use USD to try and "maintain" the circulation, then you bleed it out with every transaction that change hand, or you use Rupee which will increase the demand of your own currency, the only different being you won't be able to back it with USD or any Forex because you are also using USD direct.......
Literally everyone on this thread seems to not understand my proposed dual currency system.
Re-read my posts about how it works.
You are pretending that it's a simple peg or a currency board system.
It is neither of those things.
I propose that Pakistan change to a Dual Currency system, where individuals must procure their own USD to pay for USD imports, and then can only sell the portion of USD imports to the next person in USD for the portion of USD they paid for the import, all the way down the line.
Say that you want to buy gasoline from a fuel station.
The importer of the crude oil would need to pay for the import in USD, and then charge USD for the portion of the import component of the finished product to every intermediary at every step of the way down to the consumer level.
The importer of finished gasoline and diesel would do the same thing, but the import component would be larger, which would mean that the intermediary steps would also have to transact a larger portion of the value of the transaction in USD.
This kind of system effectively devolves the job of maintaining a current account and foreign currency reserves from the government level to the individual level, which is necessary as the Pakistani government has shown zero capability of doing it properly at the governmental level, and shows zero signs of being capable of doing it in the future either.
This would also discourage import inflation disguised as growth, as the accounting metric for the imports would be in the USD instead of directly government manipulated currencies.
You are thinking of countries that implemented a simple peg or a currency board system.
The system I am proposing is strictly to be used on the specific import value of goods.
It solves the problem of a simple peg or currency board system by specifically subdividing the use of USD to import value of goods.
This system would still allow the government to do whatever they want with the domestic value portion of the goods.
I'm proposing a foreign currency be used for foreign imports and resulting foreign import value.
If you cannot distinguish the difference then you do not grasp what I am proposing.
The reason why Lebanon and Sri Lanka failed and the way Pakistan would fail if the international players would let it fail is due to using a domestic non-reserve currency to pay for the import of foreign goods which leads to running out of foreign currency as you are essentially running a crude fractional reserve system of foreign currency.
What I am proposing is a 100% reserve system of foreign currency with an effective psychological regulatory system.
It is a direct bifurcation of import value of goods and domestic value of goods.
An example, a 120 dollar "barrel" of oil is imported, then processed to add value.
You would then have a USD value of goods and a Domestic value of goods.
The next intermediary/final buyer would pay USD for the USD value of goods portion and PKR for the Domestic value of goods.
It doesn't have to be 100% perfect either, as the government will also still be taxing the USD portion of goods, and that tax will still be held at the real national current account.
That taxed amount would have the government be able to make the choice to either recirculate it into the economy directly by selling it for PKR, or the government can use it to pay off foreign currency debts or make foreign currency purchases.
Then the demand function on USD (or whatever foreign currency you want to use as the foreign component of this system) would put demand on investment in export industries to produce a probabilistic income stream in USD (or whatever foreign currency you want to use as the foreign component of this system)
Your assumptions you are making are assuming that the current Pakistani system is well designed and allocating capital efficiently to start with.
That is not the case.
And therefore the capital is there to be reallocated already, even without extra capital to start with.
It simply requires the natural deflation of non-productive and less productive sectors and investments, aka urban residential ponzi schemes, vanity projects, feudal rent seeking, etc, as those activities would not return a positive (or at least a very positive) probabilistic return on the amount of USD spent in them.