One thing that I've found incredibly disappointing about SRI is that it requires CORS. There's some more information here: https://github.com/w3c/webappsec/issues/418 but it essentially means that you can't SRI-pin content on a sketchy/untrustworthy CDN without them putting in work to enable CORS (which, if they're sketchy and untrustworthy, they probably won't do).
The attack that the authors lay out for SRI requiring CORS is legitimate, but incredibly silly - a site could use SRI as an oracle to check the hash value of cross-domain content. You could theoretically use this to brute force secrets on pages, but this is kind of silly because SRI only works with CSS and JavaScript anyway.