Since it’s made of cloth, and silicone rubber for the rings and silicone bead, I don’t see why it would be an issue. But, if in doubt, err on the side of caution and keep it in your luggage, or perhaps only wear the Stealth itself, without any retaining bands.
If it were me, I’d probably just keep it in the luggage. Scanners these days can see more than we’d prefer.
The inner wear will not cause any alarm with metal detectors so no problem at all there. Scanners would not be a problem either imo as it would require extra sharp attention to detail in order to note anything unusual and being without any metal you would pass thru unmolested.
If you are apprehensive at all about the scanner then yes transporting in the luggage is the best way to go.