Yes you’re correct. I will qualify my previous statement as hydrogen powered road vehicles don’t make sense for now.
The problem at the moment is that electricity generation is not carbon free and in most countries not even close.
Unfortunately the transition to a carbon free electric grid is being significantly retarded by policymakers that are, as you say, myopic. As a result it will be at least two more decades before hydrogen makes sense.
The carbon footprint of lithium battery manufacturing, is small compared to the carbon footprint of electricity generation. Until that changes significantly lithium batteries will continue to be a better choice than hydrogen fuel cell.
Hydrogen may make sense in a future where we’ve eliminated all fossil fuel electricity generation and there’s an abundance of carbon free electricity that can be used to create green hydrogen as a form of energy storage. Though by the time that point comes, we may have developed battery technology or some other energy storage technology that doesn’t carry the same carbon footprint that lithium ion does today.
I’m not so concerned about the carbon footprint of battery manufacturing as I am with the broader externalities associated with the battery lifecycle. This article is a few years old, but it provides a relevant, sobering assessment of the problem. Hydrogen powered vehicles make sense now because they avoid that problem. They’re also a better choice for anyone whose driving needs would outpace overnight charging of a BEV at home (or anyone with a living situation that precludes it). The current policy of exclusively transitioning the fleet to BEVs is at best a kludge for bad energy policy.