This is an interesting point, and I think one that anyone considering this approach should consider. The way we segregate multi-cloud is the delivery of primarily our front-end app. Depending on if you are in an EU or US region you will be redirect to an API instance and then have direct connectivity of that API, this is mainly due to regulatory requirements.
As a 2nd data point check-out https://www.backplane.io/ - from Blake Mizeranyt the (former) technical lead of etcd
As a 2nd data point check-out https://www.backplane.io/ - from Blake Mizeranyt the (former) technical lead of etcd