[a11y] Cleaned up legacy code on posting notifications in AXObjectCache.

notifications_to_post_main_ as well as the the whole code-path from PostNotification methods are legacy code which was used to hold dirty events until it's time to serialize.

The old code, used to serialize immediately from notifications_to_post_main_ as seen here:
https://source.chromium.org/chromium/chromium/src/+/5f1daf62a9696d0793eea3c98827836ab617f35f:third_party/blink/renderer/modules/accessibility/ax_object_cache_impl.cc;l=1705-1710
and
https://source.chromium.org/chromium/chromium/src/+/main:third_party/blink/renderer/modules/accessibility/ax_object_cache_impl.h;l=949-950;drc=fba455f0b2319c9bec8e8dcf67aa85678ee085d0

However, we currently already hold pending events in deferred queue as well as dirty_objects_ so `notifications_to_post_` no longer has any point but only does extra processing in a middle step.

I also rename `dirty_objects_` to `pending_objects_to_serialize_` to make it easier to tell apart between objects that are dirty pending lifecycle updates and objects pending a serialization.

Change-Id: Ib293e786816301454423d198fff3fcfa67bbc2db
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5498335
Auto-Submit: Ahmed Elwasefi (Ahmad45123) <a.m.elwasefi@chromium.org>
Commit-Queue: Aaron Leventhal <aleventhal@chromium.org>
Reviewed-by: Aaron Leventhal <aleventhal@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1306524}
7 files changed
tree: 479ff606e7c61983810b4c736433fe79cf78fa6b
  1. android_webview/
  2. apps/
  3. ash/
  4. base/
  5. build/
  6. build_overrides/
  7. buildtools/
  8. cc/
  9. chrome/
  10. chromecast/
  11. chromeos/
  12. codelabs/
  13. components/
  14. content/
  15. courgette/
  16. crypto/
  17. dbus/
  18. device/
  19. docs/
  20. extensions/
  21. fuchsia_web/
  22. gin/
  23. google_apis/
  24. google_update/
  25. gpu/
  26. headless/
  27. infra/
  28. ios/
  29. ipc/
  30. media/
  31. mojo/
  32. native_client_sdk/
  33. net/
  34. pdf/
  35. ppapi/
  36. printing/
  37. remoting/
  38. rlz/
  39. sandbox/
  40. services/
  41. skia/
  42. sql/
  43. storage/
  44. styleguide/
  45. testing/
  46. third_party/
  47. tools/
  48. ui/
  49. url/
  50. webkit/
  51. .clang-format
  52. .clang-tidy
  53. .clangd
  54. .eslintrc.js
  55. .git-blame-ignore-revs
  56. .gitallowed
  57. .gitattributes
  58. .gitignore
  59. .gitmodules
  60. .gn
  61. .mailmap
  62. .rustfmt.toml
  63. .vpython3
  64. .yapfignore
  65. ATL_OWNERS
  66. AUTHORS
  67. BUILD.gn
  68. CODE_OF_CONDUCT.md
  69. codereview.settings
  70. CPPLINT.cfg
  71. DEPS
  72. DIR_METADATA
  73. LICENSE
  74. LICENSE.chromium_os
  75. OWNERS
  76. PRESUBMIT.py
  77. PRESUBMIT_test.py
  78. PRESUBMIT_test_mocks.py
  79. README.md
  80. WATCHLISTS
README.md

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