Earlier quoted context omitted.
You're right, there isn't anything suggesting that they hold a partial reserve. And there won't be even when they do. And when they close due to massive theft / loss of coin, and take all of their users' funds with them, that will be the first suggestion that any user hears of. It happened to me. It's not fearmongering, it's fact.
So ask them to prove their reserves if it bothers you so. Other large services have in the past.
To use a metaphor, a failed proof of reserve is like detecting that someone who's riding a motorcycle without a helmet has been launched into the air due to a car crash, and is about to hit the ground. That doesn't change the fact that they're not wearing a helmet in the first place. And in bitcoin's case, no such "helmet" exists. There is no protection for consumers against losing their funds by the exchange.
There's always going to be this massive risk of the coins disappearing due to any number of reasons: that they get hacked, that the founder steals them, that they lose them to some massive technical problem, that they experience another undocumented bitcoin protocol issue like malleability, that they lose access to their cold storage wallets, etc.
This has happened at, what, a dozen exchanges so far? They've all died due to one of the above reasons. Who's next? It's completely possible that Coinbase is next, and that you're recommending users throw their money away by trusting them. There's no reason to trust Coinbase. Keep your funds in your own secure cold storage wallet, and you'll have them forever. Keep them in Coinbase and you'll have them exactly as long as Coinbase lasts.