Rename Marshaler#writeJsonToGenerator to allow jackson runtimeOnly dependency

[jack-berg]

See this comment for explanation: open-telemetry/opentelemetry-java-contrib#1551 (comment)

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 90.30%. Comparing base (4c30ec4) to head (972c493).
Report is 6 commits behind head on main.

Additional details and impacted files

@@             Coverage Diff              @@
##               main    #6896      +/-   ##
============================================
+ Coverage     90.29%   90.30%   +0.01%     
- Complexity     6589     6594       +5     
============================================
  Files           729      729              
  Lines         19768    19784      +16     
  Branches       1944     1945       +1     
============================================
+ Hits          17849    17866      +17     
+ Misses         1327     1325       -2     
- Partials        592      593       +1     

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