But Sweden has roughly double the population of Finland and Norway, so Sweden (1000 weekly deaths) is comparable to Finland (500 weekly deaths) and not that far off of Norway (200 weekly deaths).

Irrelevant. It's how far the spikes go above normal per-capita that matters, which is why each chart has a different Y axis that fits that particular country.

The pictured charts clearly show Sweden and the US seeing substantially more deaths than normal, while Finland and Norway stayed at roughly their normal rates.

The countries have significantly different lifespans and normal mortality, because of health care systems, age distribution, culture, genes etc.

It doesn't really give anything sensible when you compare unadjusted total mortality per capita across countries.