Shore, and he was never really on the right of the party. He was kind of an idiosyncratic old school leftist.
And I don't think the terms 'hard left' and 'soft left' emerged until the fiasco of the 1981 deputy leadership contest. When some on the left, such as Kinnock, refused to back Benn, they became known as the 'soft left', while Benn and his supporters became known as the 'hard left'.
Yes, Labour Party factional terminology is crazy and confusing.
As for Healey, he may have been pro-EEC back then but funnily enough he actually declared his support for Brexit not long before his death.