Still, since BPlay is only a new gambling site, it's still up to question whether this collab is actually going to benefit Binance since it has a lot of sites to fight with. Hope Binance actually manages to get something out of this collab though, especially since business puts profit as a top priority.
I really think that they had invested on BPlay so that they can take the gaming world onto their system by being adopted on a new gaming (gambling) platform. And as far as we can judge, it will really benefit Binance by expanding it's capabilities for not being only a famous online exchange but also a company that adopts a platform which focuses more on crypto gambling.
I don't think that BPLAY's system and future faults (if and only if it goes down) could affect with the Binance's reputation, as collaboration only means that they had a partnership or a deal which I guess Binance had a commission on BPLAY in its net income then BPLAY in return would use the system of Binance mainly as an alternative log in which also promotes the famous exchange (that's only my guess and what I see the reason why Bplay's site had the feature)