Indentation being inferred from multiline string literal in Python code when a different pydoc (also a multiline str literal) has quotes in it

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I have a Python file where the Python is indented with 4 spaces and an inner multiline literal for sql is indented using 2 spaces:

def foobar():
    """Blah blah "something quoted"
    """
    pass


class FooBar:
    def run_query():
        sql = """
            SELECT e.foo, e.bar
            FROM (
              SELECT some_subquery, * FROM another_table
            ) e
            WHERE e.blah
              AND e.xyz
        """

        yield from MyQueryObj(sql).rows()

And vim-sleuth infers sw=2 when I expect sw=4 for the Python file.

In producing this minimal repro, I've found that either of the following changes produces the expected sw=4:

• commenting out the entire sql = """<SQL>""" multiline literal
• Changing the "something quoted" into 'something quoted' in foobar()'s pydoc

Maybe relevant, I have the following loaded to SQL syntax highlight such literals, in $VIMDIR/after/syntax/python.vim:

" Syntax highlight SQL embedded inside Python triple-quotes

" https://stackoverflow.com/questions/29791199/highlight-sql-inside-python-string-literals

" Temporarily disable current syntax
unlet b:current_syntax

" Load SQL syntax
syn include @SQL syntax/sql.vim

" modified https://thegreata.pe/articles/2020/07/11/vim-syntax-highlighting-for-sql-strings-inside-python-code/
syntax region sqlPythonString
      \ matchgroup=SpecialComment
      \ start=+\v\C\z('''|""")\_s*(--|(ALTER|BEGIN|CALL|COMMENT|COMMIT|CONNECT|CREATE|DELETE|DROP|END|EXPLAIN|EXPORT|GRANT|IMPORT|INSERT|LOAD|LOCK|MERGE|REFRESH|RENAME|REPLACE|REVOKE|ROLLBACK|SELECT|SET|TRUNCATE|UNLOAD|UNSET|UPDATE|UPSERT|COPY|WITH)>)@=+
      \ end=+\z1+
      \ contains=@SQL

syntax region sqlPythonRawString
      \ matchgroup=SpecialComment
      \ start=+\v\Cr\z('''|""")\_s*(--|(ALTER|BEGIN|CALL|COMMENT|COMMIT|CONNECT|CREATE|DELETE|DROP|END|EXPLAIN|EXPORT|GRANT|IMPORT|INSERT|LOAD|LOCK|MERGE|REFRESH|RENAME|REPLACE|REVOKE|ROLLBACK|SELECT|SET|TRUNCATE|UNLOAD|UNSET|UPDATE|UPSERT|COPY|WITH)>)@=+
      \ end=+\z1+
      \ contains=@SQL

syntax region sqlPythonFString
      \ matchgroup=SpecialComment
      \ start=+\v\Cf\z('''|""")\_s*(--|(ALTER|BEGIN|CALL|COMMENT|COMMIT|CONNECT|CREATE|DELETE|DROP|END|EXPLAIN|EXPORT|GRANT|IMPORT|INSERT|LOAD|LOCK|MERGE|REFRESH|RENAME|REPLACE|REVOKE|ROLLBACK|SELECT|SET|TRUNCATE|UNLOAD|UNSET|UPDATE|UPSERT|COPY|WITH)>)@=+
      \ end=+\z1+
      \ contains=@SQL,pythonString

syntax region sqlPythonRawFString
      \ matchgroup=SpecialComment
      \ start=+\v\C(fr|rf)\z('''|""")\_s*(--|(ALTER|BEGIN|CALL|COMMENT|COMMIT|CONNECT|CREATE|DELETE|DROP|END|EXPLAIN|EXPORT|GRANT|IMPORT|INSERT|LOAD|LOCK|MERGE|REFRESH|RENAME|REPLACE|REVOKE|ROLLBACK|SELECT|SET|TRUNCATE|UNLOAD|UNSET|UPDATE|UPSERT|COPY|WITH)>)@=+
      \ end=+\z1+
      \ contains=@SQL,pythonString

" modified https://github.com/sheerun/vim-polyglot/blob/ce31cd1d2f4e8eee9fd91325e4599f15cb9566fd/syntax/python.vim#L273
syn region pythonStrInterpRegion
      \ matchgroup=pythonStrFormat
      \ start="{"
      \ end="\%(![rsa]\)\=\%(:\%({\%(\%([^[:cntrl:][:space:][:punct:][:digit:]]\|_\)\%([^[:cntrl:][:punct:][:space:]]\|_\)*\|\d\+\)}\|\%([^}]\=[<>=^]\)\=[ +-]\=#\=0\=\d*,\=\%(\.\d\+\)\=[bcdeEfFgGnosxX%]\=\)\=\)\=}"
      \ extend contained containedin=pythonFString,pythonRawFString,sqlPythonFString,sqlPythonRawFString contains=pythonStrInterpRegion,@pythonExpression

" Restore current syntax
let b:current_syntax = 'python'

But commenting out out the entire syntax/python.vim file does not affect the repro above.