MD5 calculation

[Turpal]

Does Create MD5 checksums file in File Checksum menu use filename-dependent hash-function?
I tried it on technically similar files (which have different names) and it calculated different checksums for them.
I assume, MD5 should behave other way.

[Mathias (Author)]

Filename make no difference.   the hash is built on the file content.
It is used to verify that files are identical and have not changed.

[Turpal]

Filename make no difference

However, I get contradictory statements about this in the web. They say it depends on the MD5 implementation, and which implementation is used by MC?
I also tried CertUtil command utility by MS and it also gave me different checksums.

[Mathias (Author)]

No. The hash is built on the content.. The filename does not matter. it is not used when calculating the hash. 
MD5 is just an algorithm to calculate a hash. checksum files are using it for matching content.
You can calculate the hash of the filename if you want. But it is pointless for checksum files

[Turpal]

Yeah, that's it. Some of the contents were different.