I can confirm that Hard Disk Sentinel can properly access RAID members when they controllered by a "single" RAID controller, for example the Intel RST OR the JMicron JMB39x RAID chips. It means that Hard Disk Sentinel can collect and display the RAID members by special ways.
But I'm afraid no, when the combination of such RAID controllers used, it is not possible to see "through" both of the controllers. To access RAID members, special commands required to be sent to the RAID controllers and this is not possible if multiple RAID controllers used, for example the Intel RST AND the JMicron controller.
Things are perfect (and much more recommended) if you use Windows Software RAID: then the JMicron chips can be accessed (so the RAID members can be detected). But if the Intel RST would be used on top of the JMicron chips to group them together in RAID0, then the Intel RST would not allow sending the mentioned special commands to the JMicron chips, in that situation you'd only see the 4 JMicron virtual devices (the members of the Intel RAID array) but not the actual hard disks managed by these 4 JMicron RAID controllers.
Generally, I suspect this is why the JMicron manager also can't see these devices when Intel RST used.
If you have the opportunity, please use Report menu -> Send test report to developer option, it is rare to see so many different JMicron chips at the same time in action