Here's someone else who called it over a year ago with some charts with counterpoint those you link:
https://www.hussmanfunds.com/comment/mc220925/
OR CAPE: https://www.multpl.com/shiller-pe
Note he's in good company, with Jeremy Grantham for example also warning of the same thing:
https://www.livewiremarkets.com/wires/grantham-this-is-a-bub...
Just to be clear, the argument is not 'everything is shit now because inflation', it is that the era of easy money has ended, significant inflation and war means a regime change in central bank intervention, and central banks will now tighten till things break. They haven't even managed to unwind QE yet and stop buying their own debt, will they ever? If they do, watch out.
This isn't doom and gloom, it's simple realism about the regime change in interest rates - the era of 0% money is gone, in its place we have a normalisation, which means a normalisation of frothy asset prices and a reversion to the mean of earnings and prices in many domains. Usually these things take a year or two to work out, it won't be a fast process.