I think bilby's observation was once conventional wisdom. But now the world economy is afloat in uncharted waters. Old financial indicators no longer make sense. The "money supply" has skyrocketed but Trillions of this "new money" is held at the Fed in excess reserve accounts. Banks are being paid Billions in interest by the government for these useless accounts.
There are two types who say inflation is the result of low taxes. One of them is very right, the other is very wrong.
One type says that deficit spending is done by having the Federal Reserve create new money which is then lent to the Federal Government which spends it. This new money decreases the value of existing money. Given federal spending of X, having taxes equal to X results in no borrowing, no new money, and therefore no inflation.
The other type says that money comes from the government, and that taxation is only done to soak up excess funds to keep inflation down to a manageable level.
I fail to see any substantive difference between the two descriptions you give here. "Having the Federal Reserve create new money which is then lent to the Federal Government which spends it" is just a long winded way of saying "money comes from the government"; and in both your descriptions, taxes offset this by taking that money back out of circulation. Either both are right, or both are wrong. And in fact, both are right.
Money isn't a commodity. It's not property, either, though most people mistakenly think it is (leading to the absurd idea that taxation is similar to, or even identical with, theft). The fact that money can be reduced in value by inflation shows that it's not property. The actions of bureaucrats miles away can't influence the number of days the food in your larder will sustain you; But they can influence the number of days the money you 'own' can sustain you.
The dollars in your wallet or bank account don't belong to you in the way that a can of beans belongs to you; rather they are yours in the same way that points on the scoreboard during a game are yours. They are subject to the rules of the game, and the decisions of the referees. The rules are necessarily and always arbitrary, and the identity of the arbiters is determined by the system that is in place in a given jurisdiction - it might be a king or dictator; or an elected prime minister, president, committee, parliament, or congress; or a board of directors elected or appointed by some other authority; or a combination of these, with different arbiters having control over different parts of the rule-book. And like points on a scoreboard, the absolute number is entirely irrelevant - the value of your points is entirely dependent on how many points the other participants have.
Money is a service, usually provided by a government or government agency, by which the level of indebtedness of society to the holder of the money is monitored.
Taxes are one of the ways that the scores in the game can be adjusted, and they can be used either to reduce the total number of dollars to raise the value of each; or to limit unfair and unreasonable concentration of money in the hands of entities to which society doesn't, in fact, owe the debt that the money implies; or both.
Insufficient taxation causes wealth disparities that don't accurately reflect the debt, owed to the holders of that wealth, by the rest of the society in which they live.
Equally, excessive taxation could cause the elimination of deserved disparities of wealth, whereby those to whom society is indebted are stripped of their access to the goods and services they deserve.
And of course, tax rates in some circumstances can be negative - either in the sense of tax credits, or of payments by the government to those who are not adequately provided with access to the goods and services they deserve.
Where ideologies differ, it's more often in terms of what constitutes being 'deserving' or 'undeserving'; or in what forms the arbiters of the rules should take, and how they should be selected.
The strikingly dumb thing about libertarianism is that it rejects all of this, in favour of the pretense that if we played the game without referees it would be fairer for everyone. Anyone who has seen a schoolyard soccer match with no referee knows that this doesn't work in practice - the kids with the most leverage get to decide when a rule has been broken, and the ability for the game to be played at all is completely dependent on those kids not cheating too much. That leverage might be ownership of the match ball, or the support of powerful adults from outside the game, but usually it boils down to physical strength.