Julia Kristeva on Lin:

One French visitor to China had this impression of the campaign against Lin:
"The most important objective of the current campaign, according to him, [activist
opposing Lin--ed.] was to 'get rid of the cult of personality' and to 'get rid
of nationalism, in favour of internationalism'."

About Chinese Women, p. 190
(NY: Urizen Books, 1977)

Kristeva claims the same activist was the only one she heard for calling Lin "ultra-leftist."
MIM would guess that Kristeva stumbled on a pro-Zhou Enlai activist, because Mao
ordered that Lin be described not as ultra-leftist as Deng Xiaoping did after Mao
died. Perhaps this statement could even be interpreted as saying "get rid of Mao"
and "get rid of Lin's followers," which would leave 
cosmopolitan Zhou Enlai and Deng Xiaoping.

The accounts of Lin's influence on politics differ. The initial accounts from
the Cultural Revolution had Lin backing ultra-left Red Guards who attacked Zhou
Enlai for not being internationalist enough and not supporting Third World armed
struggle enough. Later, it appears Lin's son was saying Zhou was giving too much
away to the Third World. Kristeva's observation also fits in that vein. In many
ways, it does not matter too much. These views existed and who is less important
than what.