if you use the government's attempt at decentralized consensus as an analogy for bitcoin. Proof of Work is like randomly selecting presidents and not revealing who they are until they are done with their term
nope
block creation is not that at all
(sticking with YOUR election analogy(poor analogy but lets go with it))
imagine everyone puts a tick on a ballot(a transaction)
and posts it to whatever polling count centre is available . near them
where multiple counting stations get it. but only one instance can be deemed valid
the polling centre collates said cards/tx. and counts them up. and puts them into a batch
*they then run it through a machine that costs alot of electric to give that batch an ID*
*this* stage of costly batch ID creation is the POW
then when there is a secure enough batch ID to preserve the cards/tx data from being tampered with
the polling data of that specific counting station is released to the public. where the public validate its secure.
the next polling counting station. then batches up some cards/tx not already validated and uses that already public batch ID of the latest publicly aware batch ID within its batch collation. and then *the PoW* process is done on that batch
thus having a chain of batches of polling cards preceding each other
and again released to the public
the public can then see which votes(data) voted for x or y candidate (or pay whomever tx destination is) and you can see the results are confirmed 2016times a fortnight(~10 minutes each) as polling centres release their batches throughout the day
anyone can then tally up results at any time to see who has most votes at any given ~10min period
the thing is.. there is no stopping the polling. meaning yes satoshi may have held onto 1million votes out of 19m votes for 14 years and micheal saylor may have only 135,000 votes in last 2 years and greyscale might have been growing its vote count to 635,000 votes over 10 years and binance might have 575000 votes
but as the polls are continual. they can change futuristically in 10 minutes. rather than 4 years. and cant change retrospectively(its possible but cost prohibative to do such, thus you dont really see it get done)
..
Pow is not about changing votes retrospectively(by itself. POW does not read or write polling cards). nor about keeping votes a secret for 4 year term. nor about the PoW being related to editing votes when received(again PoW is not about reading polling cards).
(a malicious polling count station, could if it had enough power to outpace the other poll card collating centres, could produce an empty batch(management decision not related to PoW). thus holding up/delaying any change of majority by having nothing to count for a period.
but thats not PoW caused.. thats bad management of selecting to not fill their batch BEFORE using PoW to secure an empty batch
PoW is about securing a batch ID of collated votes(or empty boxes). which then is a proof of confirmation they are then counted and locked(or nothing new occured) and treated as valid locked positions at that given time
if a polling count centre had more cost/power then its competing count stations. it could go back and make its own pile of empty batches or batches of collated votes it favours(again not POW related but management decision) and then make the batch ID's faster then competing stations. to overtake them and re-org the results
(costly endeaver that can easily be rejected by other mechanism, thus not worth attempting)
...
why i say its a poor analogy to compare to elections
is if treating btc as votes. satoshi has remained president with most majority votes for 14 years, even when elections that could change who has what btc every 10 minutes
meaning elections can swing to a new vote majority leader any time
(EG a merger of greyscale and binance) where they show they have more btc/votes than satoshi by co-mingling their coin
which has nothing to do with PoW and PoW has nothing to do with election counting.. just
batch securing an ID of a the count of recent vote changes