When pasting text copied from Evernote, the images do not display. They do display when the same text is pasted in Dynalist or Roam.
The markdown is of the form: 
Images that are stored in Dynalist do show in Obsidian when their markdown code is copied.
It looks like visiting that link directly in the browser leads to a 403 and then a login page.
Request URL: https://www.evernote.com/shard/s7/res/28a4d07f-7afe-4313-8e9c-c74efa7bb1a7
Request Method: GET
Status Code: 403
I’m guessing you’d need to be logged into Evernote within Obsidian (somehow) for the images to show. Can Evernote images be made public?
I second what @shindakun said. Are these images public or not? If they are not public, they won’t work.
Yes, it is a private image. But it is viewable in Dynalist and Roam, but not Obsidian. It is still useful as a private image for legacy Evernote.
Which I realise is because it’s not a web app (yet?).
It’s viewable in Dynalist and Roam because you are opening it within the web browser where you are logged in Evernote. Logout of Evernote and see if it still shows in Dynalist.