nested __index

["temp 213 qwe" <temp213@...>]

__index:
"If it is a function, it is called with table and key as 
arguments, and the result of the call (adjusted to one value) 
is the result of the operation. This indexing is regular, not 
raw, and therefore can trigger another __index metavalue."


a = setmetatable({a = 1, name = "a"}, {__index = function(t, 
k) print(t.name) end})
b = setmetatable({b = 2, name = "b"}, {__index = a})

print(b.a, b.b, b.c)

I understand why it prints "a" table name, when indexing b.c,
but should not it be more correct to propagate "b" to all the 
nested __indexing?

"child" table could store a link to "parent" (in __index 
actually), but if at the end of nested __indexing process we 
got last "parent" as self, there is no way to get a child who 
actually triggered it, or?

best regards,
Pavel