RFR: 8342460: Remove calls to doPrivileged in javafx.web [v3]

[Andy Goryachev]

> Removes `doPrivileged` calls in the javafx.web module, excluding the code in `{android,ios}`.

Andy Goryachev has updated the pull request with a new target base due to a merge or a rebase. The incremental webrev excludes the unrelated changes brought in by the merge/rebase. The pull request contains four additional commits since the last revision:

 - review comments
 - Merge remote-tracking branch 'origin/master' into 8342460.do.privileged.web
 - review comments
 - web

-------------

Changes:
  - all: https://git.openjdk.org/jfx/pull/1620/files
  - new: https://git.openjdk.org/jfx/pull/1620/files/1c1e8eab..dd44845e

Webrevs:
 - full: https://webrevs.openjdk.org/?repo=jfx&pr=1620&range=02
 - incr: https://webrevs.openjdk.org/?repo=jfx&pr=1620&range=01-02

  Stats: 1558 lines in 69 files changed: 96 ins; 889 del; 573 mod
  Patch: https://git.openjdk.org/jfx/pull/1620.diff
  Fetch: git fetch https://git.openjdk.org/jfx.git pull/1620/head:pull/1620

PR: https://git.openjdk.org/jfx/pull/1620