So....I reinitialized I/O.
Prior to re-initializing, I could see no success/fail bits triggering (MWX or MRX) on the 3 non-responsive Modbus devices. It did look like both the EIP devices messages were periodically toggling the read/write fail bits (they weren't frequent so it was hard to catch them visually).
After reinitializing the I/O, the EIP came back immediately. The working Modbus device is still working and the 3 initially un-responsive Modbus devices are still un-responsive. I'm still not seeing fail toggle bits on the MRX and MWX. I am also not receiving any warning messages about the non-responsive modbus devices.
Edit: Additional Information
Under Device Status, the Modbus device that is working will show it working through all "Locked" MRX/MWX instructions for that device. Periodically the state will transition to "Closed", it will re-open and start cycling through the instructions again. For the other 3 devices, the state shows "Open" but the there's no movement under the "Locked Instruction" category for these devices.