No it's not. You're being intentionally pedantic here and seem to be ignoring the actual meaning of those words.
If I helped someone do something bad, then I bear some responsibility for the outcome. That is the definition of responsibility. What is your definition, considering it seems to differ from the dictionary definition?
I’m honestly not being intentionally pedantic. To say someone helped with X is different from saying someone is responsible for X. The latter implies full responsibility, the former only partial responsibility.
That’s more than enough of a difference for this to matter. Especially if X is COVID-19. Traster is clearly strawmanning the tweets.