[release-19.0] Flakes: Address flakiness in TestZkConnClosedOnDisconnect (#17194)

[vitess-bot]

Description

This is a backport of #17194

[vitess-bot]

Review Checklist

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 65.16%. Comparing base (12e6bf6) to head (f0b39a7).
Report is 1 commits behind head on release-19.0.

Additional details and impacted files

@@               Coverage Diff                @@
##           release-19.0   #17195      +/-   ##
================================================
+ Coverage         65.12%   65.16%   +0.03%     
================================================
  Files              1560     1560              
  Lines            238215   238215              
================================================
+ Hits             155141   155233      +92     
+ Misses            83074    82982      -92     

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