The Analytic and Debug channels are not enabled by default and have to be enabled on each target node before any events are written to them:

#enable analytic and debug DSC channels
wevtutil.exe set-log "Microsoft-Windows-Dsc/Analytic" /q:true /e:true
wevtutil.exe set-log "Microsoft-Windows-Dsc/Debug" /q:True /e:true