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Logic is partly carried over from manage_input_methods.js

The original CL that added this logic doesn't explain much
https://crrev.com/1908483003.

This CL https://crrev.com/c/1109441 suggests component IMEs are
pre-installed system IMEs, which makes sense to ensure at least one is
enabled in case the third-party one get removed and users can no longer
type.

Button disabled view: http://screen/3qQgdYTc6UQBn8Y

Bug: 1113439
Change-Id: I4d07687a8ac0a2c705d8e83bfb938909149a2723
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2413677
Commit-Queue: My Nguyen <myy@chromium.org>
Reviewed-by: Kyle Horimoto <khorimoto@chromium.org>
Reviewed-by: Regan Hsu <hsuregan@chromium.org>
Cr-Commit-Position: refs/heads/master@{#807843}