When the name of dataset is automatically generated, it competes for attention and space with the visual history.
Out of much creativity for now, I think we could collapse the history in this specific case (automatic name) like an accordion, so the user have to click to expand it.
Another possibility is to visually shorten the name when it is automatic, requiring also some intervention like a click to be shown.
Or even the two ways together, so the user can decide which one they prefer (just by clicking one, another, or both), and the site would remember which he chose and keep it as default for the next posts yet to be seen.