Nope it doesn't - that's an example of where this is much smoother. FWIW MightyText already does SMS (via an app, not proximity) on Android/Chrome - although it's not Apple smooth in terms of replying either.
I think the right way to go would be syncing the actions as well as data of Android's rich notifications - things like reply to email/archive from chrome notifications, reply to SMS, hangouts.. It'd be Google's universal apps between Android and Chrome - syncing actions. It'd need a lot of developer support but it'd be fantastic if they pulled it off as well as Apple and supported third parties in a serious way.
I think the right way to go would be syncing the actions as well as data of Android's rich notifications - things like reply to email/archive from chrome notifications, reply to SMS, hangouts.. It'd be Google's universal apps between Android and Chrome - syncing actions. It'd need a lot of developer support but it'd be fantastic if they pulled it off as well as Apple and supported third parties in a serious way.