In SDSF you can view SYSIN DD * data. Can you do that in View?
In the View Sysout Selection List, you can put a "?" in the left-most column (Sel), and you will get a list of the datasets that were collected with the job.
View doesn't collect SYSIN (or other instream data, commands or parameters. We collect what is passed to us by JES. When JES does it's dataset processing of JESMSGLG, JESJCL, and JESYSMSG), it does not pass what follows "//... DD *" by design.
Given this JES deficiency, there are only two things that you can do to have the contents of a card file picked up by the View task:
In this case, JES and View are both working as designed, and the above two steps are the only way to be able to see "//... DD *" contents within a file in View.
The bottom line is that View takes in only what JES offers, and if JES does not offer the data following a "//... DD *", then View will not have it to archive.