Nobody knows what Satoshi's vision would look like, and certainly it is not described in his white paper, that's for sure. Nobody should also claim what his vision supposed to describe, because in his white paper, Satoshi is describing an technology that was revolutionary at that point in time. 

Back then, the technology SHA 256 was invented by the NSA and revolutionized by Satoshi into SHA256b, which is a double hashing algorithm. These days, is becoming obsolete, well not yet, maybe after 2050 or so. 

Many would argue that NSA (National Security Agency - in the USA) developed several types of algorithmic hashing systems in order to increase surveillance on individuals, reducing their privacy and freedom of choice. In this perspective I would have to agree, because in the Bitcoin's ledger it is written both transacted addresses, but luckily it is not written the names of those people or their home addresses or anything else for that matter, unless they wish to write that as a message (ex: in the very first transaction Satoshi wrote => The Times 03/Jan/2009 Chancellor on brink of second bailout for banks <=).

This very first message indicates absolutely nothing of the who made the transaction and to who was made but it is a orthographically proof of intention, which means that the Bitcoin was created to take down the banks after the horrible things they did in collaboration with the governments. So, the genius idea of Satoshi was to turn this type of technology against them. Their is no proof that the banks ordered NSA to develop a new payment system but in my opinion, that idea is most likely, the banks were suppose to use this tech afterwards if the NSA would finalized the SHA-256 experiments successfully. Because the banks did not wanted control the project was abandoned but not forgotten by the Cyperus's like Satoshi Nakamoto and Hal Finney. 

Their collaboration fruited into what we have today: the Bitcoin Network. Their very first transaction is proof that they truly succeeded in modifying this algorithm in a Double Hashing SHA-256B. There is to be notice the there were developed more algorithms like SHA-224, SHA-256, SHA-384, SHA-512, SHA-512/224, SHA-512/256 by the NSA just not only SHA-2, which is actually the designation of the algo.

Now, as you can see, the BTC's algorithm is not original at all but a modified version of the original SHA-2 version, this means that as a core Idea an technology should evolve because otherwise would become either obsolete, when it comes to transactions per second or could be prone to 51% attacks or several other DOS (denial of service) attacks. These happened ulterior to the newly improved Bitcoin with a 2 MB (sizeable) block size, as Satoshi instructed Gavin Andresen to do so. It turned out that BXT (Bitcoin XT), was a failure mostly because of the DOS attacks which I estimate hat some core developers intentional did these attacks to keep Bitcoin as it was at 1 MB size therefore reduce the possibility of being a true contender to banking system.

After many forks over the years the community shifted into a way beyond imagination at the time of Satoshi leaving the development of BTC. I am talking here about NFT's DeFi, PoS, Side chains etcetera, that basically diverted from the idea of a true decentralize finance without a core development community and more of a internationally established payment system. Obviously the banks hated this new system because it is not controlled by them specifically, therefore they came up with Blockkstream and several other new type o controlling systems that now they are starting to integrate into their own methods of payments.

If those DOS attacks would not happen in the past who knows how Bitcoin would have been evolved today.

Now it comes the question: Should Satoshi's vision was an evolutionary vision or was just a simple single purposely intentionally created payment system? In my opinion the vision was a momentarily alternative solution to banking system. After Satoshi started to listen and generate several other interesting new ideas then his vision shifted into a more complex one. Does these means that the imposters claims are true when it comes to BTC evolution? Of course not. Imposters are imposters and you can easily identify them.

What are your guys thoughts? Let me know down in the comments.

Take care and hodl on!