fix(logs): Don't gate user behind SendDefaultPII

[AbhiPrasad]

ref getsentry/sentry-docs#13974

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 85.48%. Comparing base (abc8abb) to head (5dfa6de).
Report is 1 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1032      +/-   ##
==========================================
+ Coverage   85.45%   85.48%   +0.03%     
==========================================
  Files          55       55              
  Lines        5500     5499       -1     
==========================================
+ Hits         4700     4701       +1     
+ Misses        655      653       -2     
  Partials      145      145              

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