Did Jesus's public ministry begin because Joseph had died, and Jesus therefore became the heir to David's throne: rightful King of the Jews?

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Following on from:

http://charltonteaching.blogspot.co.uk/2014/12/jesus-was-literally-king-of-jews-by.html

When his legal Father Joseph died, Jesus then became the rightful heir of, or at least a credible claimant to, the throne of Israel; King of the Jews, by his lineal descent from David.

So, at that point, and with that status, he entered and began his ministry.

?

Seems to make sense...

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