Bitcoin is where you store wealth, and Monero can be where transactions on the street take place...
You see, there's a lack of confidence of what's what. You say Bitcoin is where people will store wealth, but Monero is where the daily transactions will take place. I find this oxymoron.
Bitcoin isn't an object. You don't store value by the assumption that one will use it in the future for anything different than transacting with it. It's not gold that can be used in technology, jewelry etc.; the only purpose of Bitcoin is to use it as a medium of exchange and people HODL it so that they can either use it in the future to buy things or trade it with another person who wants it to buy things.
The value of Bitcoin comes solely from this phenomenon. Now if
everyone preferred Monero over Bitcoin, it wouldn't make sense to use it as a store of value.
AND it is not insignificant that it does have perpetual inflation.
I personally find it insignificant. In a way, it reveals you that the founder didn't believe it will reach a large transaction volume, so that miners could be content from the fees. It gives me the impression that the security needed to somehow be arranged, but it couldn't unless the miners enjoyed this perpetual inflation.
Your history is off. The "founder" built XMR with a hard cap. In fact we are ALMOST to the end of that original emission schedule.
The "community" decided to add the tail emission after Monero had been launched. It was, in fact, an argument amongst the community. I was on the side of NOT adding it. Not only do I not think it is neccesary to sustain the coin's security, but changing the economics in mid stream was a HUGE BLOW to the decentralization argument for the project. But here we are in spite of that. I also see the reasoning why those on the other side supported the emission. In a way it is a tacit admission that Monero may never "flip" Bitcoin, as I do not think it would be possible for very many cryptocurrencies to be able to survive a zero emission state. Some argue even Bitcoin will not. I disagree. The fees on the Bitcoin blockchain will support it's mining, in my opinion, as it will continue to be fairly expensive to transact on BTC. But other SHA2 blockchains will either fade to nearly nothing or be attacked out of existence.
You description of Bitcoin is a value store made out of 100% monetary premium is accurate. One cannot really OWN a 256bit number either. We simply rely on the fact that there are so many of them that a randomly chosen one is practically un-findable.
So yes. The only thing one would ever do with Bitcoin is to store and transmit value.
Satoshi's choice to hard cap the supply is a perfect decision for a value store. Period. Any other choice would diminish the efficacy of Bitcoin to store value. Though there ARE arguments FOR inflation.
The argument for inflation is to support monetary velocity. Elon Musk has irritated maxis by frequently by saying “Even though it was created as a silly joke, dogecoin is better suited for transactions.”.
I can only see two reasons he would say this:
1. He is a scammer or a fool. He has realized he can make money moving the price of Doge around. Or he just likes it because it is silly and "shouldn't" be successful. I think the latter is more likely than the former. Because as smart as he may be, he loves base and absurd humor. He already has so much money what could he gain playing with DOGE?
2. He believes Doge's inflation is better for a transactional currency. If a currency is constantly inflating, then it is also constantly becoming worth less. In the extreme, as we will be seeing with the US dollar soon, but has been proven out in the Bolivar, etc people will take wheelbarrows of currency to buy things they do not need on a TUES simply because on WED they will get less. So inflation supports spending instead of holding. Therefore "Doge is better than Bitcoin as a transactional currency".
I personally think #2 is the main reason Musk says this.
But the earth has never seen a mathematically perfect value store in it's whole history until Bitcoin. So, if given the choice of holding value in BTC vs DOGE... well, the price tells that story already. And this goes for Monero as well. In fact the market sees the dog coin is more than FIVE times more valuable than Monero.
^^That, of course is foolishness, and one way or the other I should expect Monero will eventually flip Doge in market cap.
Monero is closer to Bitcoin in it's emission than Doge in SPITE of the fact it, like the dog coin, has an "infinite supply". Because it will have less than Bitcoin's 21mm coins for 15 years after the original subsidy is gone. And it will take another 15 years to add 2.5 million coins to the total. This is a VERY small inflation rate. In fact when the community was arguing through this decision many felt 432 Monero each day forever would not be enough as it would not even cover lost coins.
Anyway...
There is a brief history and reasoning for the infamous Monero "tail emission". Do with it as you will.