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GH-37858: [Docs][JS] Fix check of remote URL to generate JS docs (#37870)

### Rationale for this change

JS Docs are currently not being generated.

### What changes are included in this PR?

Use a regex check instead of an equality to cover both remote set with `.git` and without for upstream. Added also a fix to generate docs from origin from forks if necessary.

### Are these changes tested?

Via archery

### Are there any user-facing changes?
No
* Closes: #37858

Authored-by: Raúl Cumplido <raulcumplido@gmail.com>
Signed-off-by: Sutou Kouhei <kou@clear-code.com>