Yes, at the Third Council the Theravādins went quite strongly for "karmic minimalism". That is, in the dozen or so debates on whether such-&-such was caused by the ripening of past kamma, Moggalliputtatissa's answer was always no.
Is the earth caused by kamma? (Moggalli vs the Andhakas)
https://legacy.suttacentral.net/en/kv7.7
Is sound caused by kamma? (Moggalli vs the Mahāsanghikas)
https://legacy.suttacentral.net/en/kv12.3
Is everything caused by kamma? (Moggalli vs the Rājagirikas and Siddhatthikas)
https://legacy.suttacentral.net/en/kv17.3
Can kamma make one fall away from arahantship? (Moggalli vs the Pubbaseliyas and Sammitīyas)
https://legacy.suttacentral.net/en/kv8.11
Etc., etc.