bitbucket: Unify logging instructions

As the title said, i had to log stuff around to make sense of what happened. In the end, might as well unify a bit.

Depends on !375 (closed)

Test Plan

tox

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Migrated from D1633 (view on Phabricator)

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Update after amending commits

Fix to use the right range of commits...

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Rebase and amend properly the diff

@douardda my command was using --update twice so that did not do what i thought ;)

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This is not what the commit description says... and is a mix of logging-related refactorings/improvements and code cleanups.

Merge request was returned for changes

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Remove refactoring part

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mentioned in merge request !378 (closed)

Merge request was accepted

approved this merge request

Update following interactive rebase (+ update some logging instruction changes)

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Merge request was merged

closed