Do I credit to Oneworld or Star Alliance?
 

So I booked a flight flying on Cathay Pacific but issued on SWISS 724 Ticket stock. Would I be correct in assuming that these flights, because of their flight number range is not CX 0000-0999 are not able to collect miles from a oneworld program? Then should I be collecting off a Star Alliance account instead?

The flight details are below

https://images.noti.swiss.com/os/Air...on_64px_CX.png
LH 7015

00:35 HKG https://images.noti.swiss.com/SalesConf/arrow_white.jpg 07:50 FRA
Operated by Cathay Pacific AirWays
on behalf of Lufthansa German Airlines

This is a codeshare flight. Different baggage policies may apply, please check the baggage information of this e-mail.
Boeing 777-300er Passenger
Business Basic - C Pre-reserved Seat 22K**
https://images.noti.swiss.com/os/Air...on_64px_LH.png
LH 902
Confirmed
09:00 FRA https://images.noti.swiss.com/SalesConf/arrow_white.jpg 09:40 LHR
Operated by Lufthansa German Airlines
Airbus 320neo
Business Basic - C Pre-reserved Seat 07F**

That flight is probably eligible for miles on only CX or LH.

Most OW airlines required flights to be both marketed and operated by OW to earn miles. And miles post as marketing carrier

Most *A airlines requires the operating airline is *A to earn miles. Miles post using operating carriers earning table

Actually, flights on LH/OS/LX tickets/metal can be credited to AsiaMiles, see:

AsiaMiles Airlines overview

I am not sure about a LH ticket and CX metal, though my expectation would be, that this also applies.

Deposit might be slow, I am now waiting for a week to have OS miles reach AsiaMiles.

So as stated in post 2 first line
Who "tickets" does not matter for most ffp's. With revenue based ffps, like most in USA, can make a difference to earnings.
What matters is operating carrier and marketing carrier (flight number)