The sheet wording is an old error
The v2.0 play sheets were produced from and reflected the master version of the Dungeon World rules kept at GitHub. These have always had the “someone you have a Bond with” wording. At some point before the open-source game text was released, Sage and/or Adam added this wording as either a correction, or as an error.
In response to your bug report, Sage solved that mystery: it was an error, an older version of the move’s text having been uploaded to GitHub, after the “have a Bond with” wording had been removed from other files that eventually became the printed book. Sage removed that wording, with the revision note explaining:
This was a late edit once we had already moved to working from the InDesign files primarily, syncing it back for consistency.
The v2.0 play sheets were produced recently, directly from the master text. Since they are from the official master text, so their wording could be considered authoritative… until the master text changed to fix the error, indicating that the book version was correct all along. Now that the master text is amended and they agree, they’re both right and the v2.0 sheets are wrong.
A note on the unreliability of things calling themselves Dungeon World “SRDs”
Contrary to common belief, Dungeon World does not have an official SRD release — all the “SRDs” scattered around the Internet were produced by third parties from a snapshot of the GitHub text at some point, and most (all?) have not been kept up to date. Dungeon World “SRDs” should not be relied on when looking for the official wording of the rules.
Unlike games that have SRDs, where the SRD is the guide to what subset of the text open-licensed under the OGL, Dungeon World does not need a reference document (as in the “System Reference Document” that SRD stands for) to tell us which parts of the text are open. This is because the whole text of the Dungeon World is open-licensed under a Creative Commons license. Since there's no second, limited version of the text that's open, there's no need for an SRD, and no true DW SRD exists. Documents and sites saying they are a Dungeon World “SRD” are using the term merely for marketing or out of misunderstanding, because most people associate “SRD” with “the free version of the rules” and don't understand the actual meaning and purpose of actual SRDs.
This is why the Dungeon World GitHub project — maintained by the authors — is the first authority on what the official game text is, and not DW “SRDs”, contrary to how a number of other games are related to SRDs.