[SPARK-34969][SPARK-34906][SQL] Followup for Refactor TreeNode's children handling methods into specialized traits

[dbaliafroozeh]

What changes were proposed in this pull request?

This is a followup for #31932.
In this PR we:

• Introduce the QuaternaryLike trait for node types with 4 children.
• Specialize more node types
• Fix a number of style errors that were introduced in the original PR.

Why are the changes needed?

Does this PR introduce any user-facing change?

How was this patch tested?

This is a refactoring, passes existing tests.

[SparkQA]

Test build #136949 has finished for PR 32065 at commit f404246.

• This patch fails Scala style tests.
• This patch merges cleanly.
• This patch adds no public classes.

[SparkQA]

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Kubernetes integration test status failure
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[SparkQA]

Kubernetes integration test starting
URL: https://amplab.cs.berkeley.edu/jenkins/job/SparkPullRequestBuilder-K8s/41528/

[SparkQA]

Kubernetes integration test status failure
URL: https://amplab.cs.berkeley.edu/jenkins/job/SparkPullRequestBuilder-K8s/41528/

[SparkQA]

Kubernetes integration test unable to build dist.

exiting with code: 1
URL: https://amplab.cs.berkeley.edu/jenkins/job/SparkPullRequestBuilder-K8s/41536/

[SparkQA]

Test build #136952 has finished for PR 32065 at commit 8bf4e1e.

• This patch passes all tests.
• This patch merges cleanly.
• This patch adds no public classes.

[SparkQA]

Test build #136959 has finished for PR 32065 at commit 9f38813.

• This patch passes all tests.
• This patch merges cleanly.
• This patch adds the following public classes (experimental):
• trait SimpleHigherOrderFunction extends HigherOrderFunction with BinaryLike[Expression]

[hvanhovell]

LGTM