[pjbrow]

The wording "in connection with" is specifically considered in the article. Also, here is the definition for "Hosted Services" (it's extremely broad):

1.2 What's Included in "Hosted Services". "Hosted Services" include any Atlassian online services products that End User orders, which can include "OnDemand" versions of many Atlassian Software products, the Bitbucket hosting service ("Bitbucket"), and other online services provided by Atlassian. "Hosted Services" always means the version of the Hosted Services as described in Atlassian's then-current product descriptions. End User's detailed rights to use Hosted Services are in Section 3 below.

[mcintyre1994]

Atlassian provide a lot of services which can be used in conjunction with one another. They probably use similar wording across their suite so that they are able to allow interaction between products etc.

I'm not sure where you got that quote from, but it's used exactly here: http://www.atlassian.com/end-user-agreement/ So yes, it's used across their suite, and doesn't seem overly broad in that case.