I can see that being an eventuality for PS & XBox. But it's a tricky matter of power and timing. Less so for the halo products.
Something like a stick seems inevitable, given the likely future shift towards streaming, and the unlikelihood that either Sony or MS would want to relinquish some degree of control over the end user's hardware. And maybe a simple streaming stick would do.
But maybe on the march towards 5nm and 3nm, it starts to make sense to invest in an SoC that can play games locally, a low power SoC that can be deployed in stick, portable, or tablet form. Directly emulated by the halo console, so developers only have to make and deploy one binary. And, much like the XSX does the XB1, several instances emulated on the halo console at once.
The midrange device is in a tricky place. If developers have already had to ensure compatibility with it (let's say Scarlet's 3.0GHz 8c16t Zen, 24CU 1.6GHz RDNA2, 12/16GB GDDR6, same storage) then maybe it's appealing, that's a pretty solid device, but its value depends on how much cheaper that would make it.
It's important not to make developers lives too tricky with a long, messy list of near identical products, which is why I lean in the direction of micro versions of the current base consoles. 12/18CU's at 914/800MHz and 8 single threaded cores running at 1.75/1.6GHz would sip power on RDNA2 and Zen 2. Something so low power could make for a fine, cheap microconsole which could be powered by an optional battery pack. Integrate solid streaming tech and rely on the ubiquity of Android/iOS devices. Maybe even get an app out on the Switch for lols.