To the extent people are moving due to covid, that's a big response to a temporary problem.
That's definitely my take.
+another
I don't have a subscription, so I can only read the first paragraph.
My hypothesis is a bit more nuanced. Many moves are driven by "life stage" changes. For example, 20-somethings move to small apartments in big cities. They move to the suburbs as 30-somethings when they get married and plan to start a family. They trade-up to bigger houses in the suburbs as 40-somethings.
I expect a lot of the people moving now are those who would have moved to the suburbs in the next year or two anyways. It's not like they'll move back to the cities next year now that they've settled into their new suburban house.
While I think it's reasonable to expect urbanization trends to slowly revert back to their old norm, I think it will be a slow process over multiple years.
Also, I don't think increasing prices are indicative of another housing bubble at this point. It's just indicative of shifting demand. It will be a different story if homebuilders keep building and building and building even when demand slowly declines.