No, it does not 
Maybe sometime if I get one of those cameras I’ll see about adding it…
Would be awesome if it was possible to get the different notification/alert types through ONVIF, I also have a TP-Link Tapo C220 camera that is supported by Smartthings “natively” but it only gives the the generic motion triggered alert and not any information if it was a person or animal that triggered it which is a pity.
If you you’d like to extend the ONVIF support to more alert/notification types on the Reolink cameras let me know if there is anything you’d like me to dump from the ONVIF protocol and I can do it and provide you with the logs (with Onvif Device Manager or similar program I guess(?))