An agent on your Mac reaches one machine, deeply. Every app on it, every folder, every file you have granted it but only that machine. Close the laptop and the reach closes with it.
An assistant inside a Google account reaches one account, everywhere. The same Gmail and the same Drive from your desk, your phone or a borrowed laptop but only the things that live in that account. The Downloads folder is not in it.
Deep and narrow, or broad and shallow. Neither is better in the abstract, and which one you want is decided entirely by where you keep your work.
That framing explains the awkward cases too. A PDF someone emailed you sits in both worlds: in Gmail, where Gemini is native, and in your Downloads folder once you save it, where Muse is. The same document, two different tools, depending on which copy you are working with which is a slightly absurd situation, and a real one.
It also explains why the device question outranks most feature questions. If you work on one Mac all day, the agent’s narrowness costs you nothing. If you move between a laptop, a desktop and a phone, an agent installed on one of them is a tool you keep walking away from, and no amount of capability fixes that.
One honest caveat about both companies: each makes claims about how it handles what you hand over, and none of them can be checked from outside. The part you control is how much you hand over in the first place.