I tested this in my local 24.4.3 environment. There is no direct v24.4 equivalent of:
GET /{client_id}/system/processes
I checked the 24.4.3 Swagger/OpenAPI and the endpoint is not present.
The closest supported REST option I found is:
GET /ae/api/v1/{client_id}/system/health?details=true
In my test, it returned all 10 active AE processes and matched the AWI Administration > Processes view, including PWP, WP, JWP, JCP, REST and CP.
It also returns name, count_of_connections, and last_life_sign for each active process.
The main limitation is that it does not return the richer metadata available from v24.5 /system/processes, such as version, IP, hostname, port, PID, or the full set of inactive configured processes.
/system/health?details=true seems to be the closest REST alternative.
Hope this helps, and I'd be interested to hear if anyone has found another supported v24.4 endpoint or approach that exposes more of the process metadata.