If I understand correctly, you want to export your design drawing set to DWG format. You would put the layouts into your publishing sets (not source views, which output model space). It appears the results of Image 2 may be a result of the publishing set option to ‘merge to one DWG file’ checkbox being checked, which places each drawing along side the others. Separately, I encourage your team to question/challenge the ‘requirement’ for drawing layout DWGs. They are a lot of work to produce (and to store and utilize by the recipient) and very few clients need them anymore. As you know, AEC professionals are moving along in BIM (or at least model space DWG exchange) and clients have a much easier time archiving (and viewing) PDFs. Some archival systems use TIFFs, but those are mainly in support of scanned vellums and sepias of legacy sets. The drawing DWGs requirements were before PDFs were widely produced, but are often carried through in old contract language without much review. It might be worthwhile to ask for added fee to produce these layout DWGs (depending on the project, phases, and purpose factors involved) or a credit if you budgeted for it, but can limit your deliverables to current industry standards.
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