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This code was introduced to support a thread-local CursorFactoryOzone.
Now that the factory is a global singleton, it can be removed. This CL
also modernizes the code.

Bug: 1029142
Change-Id: I2292ccf1d0179f8bf8c3f24507f2e013299b1cfc
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2247892
Commit-Queue: Henrique Ferreiro <hferreiro@igalia.com>
Reviewed-by: Scott Violet <sky@chromium.org>
Cr-Commit-Position: refs/heads/master@{#779516}