No, you don't know how to read a graph. Change the parameter in weekly rates by subgroup to vaccination status. On 6/12 deaths among the unvaccinated were ~30/100,000, which is 1 out of ~3,000. The numbers are fluctuating but have increased significantly since March. That is far higher than the 0.5/100,000 you claimed. It doesn't parse the data by variant type.
From that link
By the way, deaths aren't the only issue to be concerned about. Hospitalizations and side-effects from Covid infection along with long Covid are big worries.
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