if we take our decentralized coin (Bitcoin) for instance that is solely P2P, the amount of coin own on our respective wallet is limitless provided it is not centralized giving us complete privacy to how much of the coin we own.
You actually do not have complete privacy to how much of a coin you own on a particular address. All addresses are publicly verifiable, especially when sending out a transaction and the amounts on it can be checked through a blockchain explorer. What an explorer cannot do, is tell you who owns the address, hence the pseudo anonymity.
Since Bitcoin address owners need to reveal their identities during business when payment of goods and services are been made during transaction then it can't be said to be fully anonymous. OR is the anonymous nature of Bitcoin just restricted to third party intermediaries?
If I reveal an address for a transaction, let's say on the forum, it has to be posted publicly for a third party to link it to me, so I'm not fully de-anonymized. Also, the 2nd party who I'm revealing my address to, does not know of any other addresses I own.
What will we say then is Bitcoin, anonymous or private?
Pseudo anonymous, and public.