Edge implies putting your stuff in a CDN-sized datacenter that has only a subset of the full regional services, may not be able to scale up significantly on demand, may be more expensive, have less local storage and failover redundancy, etc. The multi-region considerations come in here too, but there's a whole extra set of things to worry about.
Basically you rarely want to deploy your whole app to edge; have a central or multi-region thing under the hood, and let the edge handle some very specific functionality. And even then, only if a few ms of latency makes a big difference to your clients (and they can deal with the lack of failover redundancy).