What should I do if my advisor and committee members want me to do two different things?
The way you present it, it sounds like the two are mutually exclusive, but they are not really: a "stapler thesis" generally contains an introduction and a conclusion that are there to tie the papers together into a whole. This implies a unifying theme and a narrative. It's only a few pages, but it makes a big difference.

You should probably at least make some effort to introduce a narrative, despite your advisor's opinion. Of course you know them best, but in general it's less likely that someone would refuse to sign off on something because you put in more effort than they thought warranted, and more likely they would refuse because you didn't put in enough. Better to err on the side of doing more.