RFR: 8353684: [BACKOUT] j.u.l.Handler classes create deadlock risk via synchronized publish() method

[Stuart Marks]

Back out commit for [JDK-8349206](https://bugs.openjdk.org/browse/JDK-8349206) because of build failure.

This reverts commit ebcb9a8b128cc6411610566c8368db63d25a5127.

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Commit messages:
 - 8353684: BACKOUT 8349206: j.u.l.Handler classes create deadlock risk via synchronized publish() method

Changes: https://git.openjdk.org/jdk/pull/24426/files
  Webrev: https://webrevs.openjdk.org/?repo=jdk&pr=24426&range=00
  Issue: https://bugs.openjdk.org/browse/JDK-8353684
  Stats: 453 lines in 8 files changed: 8 ins; 430 del; 15 mod
  Patch: https://git.openjdk.org/jdk/pull/24426.diff
  Fetch: git fetch https://git.openjdk.org/jdk.git pull/24426/head:pull/24426

PR: https://git.openjdk.org/jdk/pull/24426