I think my main criticism is that he's treating Sweden as a place with no interventions, even though behavior has changed a lot (and there are interventions in place).
And it's clear that in other places this herd immunity threshold is quite a bit higher.
I do not know what they would have predicted if they had calibrated their model to Sweden.
He goes into a lot of detailed discussion of what variation he assumes in the distribution, but shows no evidence of accounting for the impact of that variation on R_0.
An alternative explanation is that as the disease spread, there was significant heterogeneity in behavioral response to avoiding exposure.
If a large fraction are trying to avoid being in the same place as others, that would do it.
"The herd immunity threshold may be significantly higher in areas that ... are repeatedly reseeded from other areas."
This is not what happened.
I have issues with these methods, but different issues would push the error in different directions.