interesting concept, but you are not picking the right numbers.. the price went upto over $1000 in 2013.. so you didnt choose the peak
secondly that high point of 2013 was a super-hype price and not a rational number to use for statistical historic price analysis, most people call it a blip or a out of pattern anomaly. and dont find it useful to include in any real analysis
but lets concentrate on the market cap question..
2009-2012, there was large coin creation = large market cap increase.
today there is less new coin creation.
meaning in 2009-2012 at 50coin a block, if we just called all bitcoins $1 each(fixed) thats $10.5mill cap
meaning in 2012-2016 at 25coin a block, if we just called all bitcoins $1 each(fixed) thats $5.25mill cap added
meaning in 2016-2020 at 12.5coin a block, if we just called all bitcoins $1 each(fixed) thats $2.625mill cap added
so if bitcoin prices were FIXED then the market cap would grow at a slower pace every 4 years.
so you wont see a cap of $31.5 after 12 years of fixed $1/btc but only $18.375, so yea the cap growth would slow down..
as for the bitcoins dollar valuation fluctuation..
well the price is not based on the buys and sells of all 15mill coins at the moment.. its based on only a few hundred thousand coins spread over only half a dozen exchanges(very small section of the whole economic transfer of bitcoin).
i see more patterns related to the lack of usage of exchanges more recently, than any other reason.
we are no longer in the wilds of fast pace day trading of thousands of coins a second with daily volumes of several hundred thousand coins.. where literally everyone was on an exchange daily..
we are now scared to use exchanges(hacks, unregistered businesses, or even KYC of registered exchanges) whatever the reason is, many people are now prefering private OTC trades which yield higher premiums, but do not account towards the publicized bitcoin valuation.
so price movements are less volatile.
here is 2 examples
bitpay got $30mill a couple years back. the investors didnt buy bitcoin on public exchanges but gave bitpay $20mill upfront and have been slowly paid back in bitcoin over time. this is a private deal that has no impact on public exchanges and also reduced bitpays reliance/need to use public exchanges now they have an external source of fiat.
another example is people in the scammy ponzi and multilevel markets "training" videos telling their subscribers to use things like changetip to buy bitcoin
https://youtu.be/k6Kj9SOy1S8?t=38m10sin both cases these "investor" purchases of bitcoin do not have any effect on public exchanges
i think this will continue to be seen at the current overview of the bitcoin exchanges due to fears of public exchanges right now. . and would only change when big investors who love KYC use legit exchanges to buy large orders (yet to see wall street using public exchanges to make large orders)
in short dont expect 10,000% price increases over 2 years. but steadier movements both up and down with the occassional blip now and then