Yes, you an earn TPs on all oneworld airlines.
Be aware that CX's cheaper economy buckets, especially K, L, M and V, earn notably fewer points in BAEC than in MPC.
E.g. for short haul (between 751 and 2000 mile) flights booked into K, you'd earn 20 club points in MPC, taking 30 46* such sectors to make sapphire. But in BAEC you'd earn 5 TPs, taking 120 such sectors to make sapphire.
On the other hand, a premium economy longer flight (but under 3700 miles) booked into E, you'd earn 90 TPs on BAEC, taking 7 such sectors to make sapphire. In MPC you'd earn that same 20 club points.
In particular, if you are just over 2000 miles on most flights than BAEC may well be better; if just under, MPC may well be better; but you will need to do the maths based on your own travel patterns.
Last edited by typical; Feb 27, 2020 at 6:26 am
Reason: Edited sectors needed to sapphire based on sxc's post