Yes, your link also explains that there's no single fiscal year, and every company just chooses to define it however they want.
And while the fiscal year affects when the company needs to file a tax return, that's not when the company pays taxes which is what the GP claimed. They make estimated payments continuously, once per quarter.
> Financial reports, external audits, and federal tax filings are based on a company's fiscal year.
https://www.investopedia.com/terms/f/fiscalyear.asp