Git does not work well with binary files, since it does not compress them so well. They will eventually take up a huge amount of space in your Git repo history. I had first-hand experience; when I added and deleted a couple of small snapshots, it took me a long time to set aside the repository.
For SVN, since it is centralized, this does not affect developers, since you do not need the entire repository history in any case (in most cases). As for the space occupied on the server, I am not too sure about this.
It is best to look for an alternative method for downloading large binary files. Perhaps the best way is to upload files to an alternative source. SVN should be ok with binary files. As for Git, don't ever use binary files. If necessary, save the binaries in a separate repository.
But since you do not, you must use SVN .
Links for further reading:
Git and binary data
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