First, I\'m loving the very clearly delineated versioning of the SSIS tools. >:(
I installed SSDT BI for Visual Studio 2013 and built a nice little project in it to
Yeah - the 'versioning' is awesome! NOT.. The simple answer to this is NO, you cannot use a SSIS package built in VS 2013 on Sql Server 2012 - you can deploy is and set it up, etc - but you will get that version 8 to version 6 nonsense..
This link sql-server-data-tools-business-intelligence-for-visual-studio-2013-ssdt-bi gives you a pretty picture that basically states with VS 2013 you can do SSRS and SSAS on Sql Server 2008, 2012, and 2014 but SSIS only on 2014..
To deploy SSIS packages to SQL Server 2012 you need to build and deploy from VS 2010 or 2012...
Here is the page that explains all the versions - Interoperability and Coexistence (Integration Services) I tried to post the individual links - but I'm new and not allowed...
Hope this helps - this was driving me crazy...