Maybe it would be a good idea if most of your emails generate actions but most of mine don't.
Most are information that doesn't need tracked (the office is closing early, someone is working from home, a journal is putting out a call for papers or a machine I don't use is down for maintenance). These are good to get because then I know what's happening in my workplace, but as soon as they are read they are junk.
Then a lot of email is similarly useful to read but I may need to find it again in the future. For these ones I hit the archive button so they are searchable but out of my way. A lot of these generate calendar items and I may need to retrieve the emails for meeting agendas, locations, fliers, etc...
Then there are the actionable emails. Most of them require a quick reply and fall under the 2 minute rule. A small number generate longer actions or projects and I transfer these manually, often with a link to the original email.
I think the tools to file, retrieve, reply and delete email are handled very well within email programs. We think nothing of writing down or typing out actions generated from thoughts or physical items. Why would email be any different.