[WIP][SPARK-52646][PS] Avoid CAST_INVALID_INPUT of __eq__ in ANSI mode

[xinrong-meng]

What changes were proposed in this pull request?

Avoid CAST_INVALID_INPUT of __eq__ in ANSI mode

Why are the changes needed?

Does this PR introduce any user-facing change?

>>> psidx1 = ps.Index(['1', '2', '3'])         
>>> psidx2 = ps.Index([1, 2, 3])
>>> psidx1 == psidx2
Index([False, False, False], dtype='bool')                                      
>>> psidx3 = ps.Index([1.0, 2.0, 3.0])
>>> psidx3 == psidx2
Index([True, True, True], dtype='bool')
>>> psidx4 = ps.Index([True, False, True])
>>> psidx4 == psidx2
Index([True, False, False], dtype='bool')

How was this patch tested?

Was this patch authored or co-authored using generative AI tooling?