As simple as that, yes it does because Bitcoin halving has a mechanism impact to influence the supplies
Supply increases with time until 2140 and halving does not reduce the Bitcoin supply. It only reduces new supply in next 210,000 blocks for next four years if you compare next four year new supply with bitcoin mined in previous four years.
preserves decentralized notations on a specific max volume of Bitcoin in the market to maintain stable rewards on the Bitcoin industrial structures.
I really don't understand what you want to say and discuss here.
And thereafter the halving comes the bull run and the OP will agree with me that every bull runs is accountable to surge an ATH which is resulted just after the halving.
A bull run does not need to lead to a new all time high. With Bitcoin, so far, with three previous bull runs, it is true but it can be changed in this cycle or next cycles. Bitcoin already broke 2021 all time high before the halving but will it break 2024 ATH again, make a new ATH, no one knows.
By saying "A bull run does not need to lead to a new all time high", I implied about altcoins. Many of them don't make new all time highs with a new big bull run of cryptocurrency market. We can say Bitcoin is different than altcoins but in many years later, when Bitcoin block subsidy becomes very small, effects from a Bitcoin halving might be smaller and very mildly. It will be not surprising if in future, Bitcoin will not make a new ATH after a halving.