The C standard specifies that
A preprocessing directive of the form
# include <h-char-sequence> new-line
searches a sequence of implementation-defined places for a header
identified uniquely by the specified sequence [...]. How the places are specified or the header
identified is implementation-defined.
A preprocessing directive of the form
# include "q-char-sequence" new-line
causes the replacement of that directive by the entire contents of the
source file identified by the specified sequence between the "
delimiters. The named source file is searched for in an
implementation-defined manner. If this search is not supported, or if
the search fails, the directive is reprocessed as if it read
# include <h-char-sequence> new-line
with the identical contained sequence (including > characters, if any)
from the original directive.
(C2011 6.10.2/2-3; emphasis added)
In particular, a C implementation is by no means required to interpret a header name that has the form of an absolute path as an absolute path. Such header names are not even among those for which a conforming compiler must provide unique mappings.
Conforming C compilers must document all implementation-defined behaviors. GCC does provide documentation covering this area, but those docs do not seem to address absolute paths explicitly. It seems reasonable to me, however, that GCC just uses given path. Clang evidently behaves differently, but it does not document its implementation-defined behaviors (and therefore is non-conforming in that regard). Its output may give clues about what it's doing.
Update:
Why does Clang ignore all these?
You could examine its source to determine the details of what Clang is doing, but only the Clang development team could tell you for sure why Clang is implemented that way. Perhaps its developers anticipated your hosted-service use case and intentionally hardened Clang against the kind of attack you describe.
How can I make Clang stuck by #include-ing something?
The approaches you've already tried seem the most likely ones. If they didn't work then there might not be a way to break Clang that way.