Web wallets in general don't really make sense by bitcoin principles.

But to not make this into a service review: the wiki is managed in a git repository at guthub. Discussions happen there before changes are made. One such discussion happened here: https://github.com/bitcoin-dot-org/bitcoin.org/pull/663

Note that there may have been newer pull requests in the meantime.

Edit: per request, the gist of above link, the complaints about bc.i are:

Bugs and losses: BC.i has suffered from concerning issues during the past year (e.g. iOS denomination bug, weak key stretching, sizeable number of users losing funds, and more issues I haven't verified yet)

Backup/Password Security: BC.i hasn't adopted security features which are slowly becoming standard in other wallets (e.g. BIP32, random passphrases, backup on setup, rotating addresses, 2FA by default).

Transparency: Source code of the app has been reset or not updated repeatedly, making bitcoin.org often relay the false claim that the app is open-source.