Not the same, no. Although the differences are indeed being smoothed out with clientside hashing/encryption for lastpass etc.
But when using Enpass, even if I use Google Drive, I can rest asure that its just being used as a "dump transport-service", that is, Google never has a clue of the content of the file, but I can be assured that the file is available since the stability of Google's service in general. (i did use a local owncloud-instance first, but it felt overkill to dedicate a virtual owncloud-machine solely to a wallet-file for enpass :-)
One thing which indeed is intruging, maybe thats what you meant in the first Place. Wouldn't it be possible for devs here to write an Edge plugin, with the ability to open a wallet directly from a cloud-provider? That is, an Edge-plugin which pretty much acts like a complete Enpass-client itself.
In that case, I as an Win10 user and UWP-app customer, would only need the UWP app and the Edge app, not the desktop version.