Sorry, I completely misunderstood your question. Disregard my previous post.
Are the remotes IR or RF? The '2.4 high frequency' sounds like it might be RF, or might be just marketing hype. If they are RF, then they may well share the same 2.4 GHz band that a horde of other devices use, including WiFi, Bluetooth, some cordless phones, etc. all use. Any well-designed device should be able to share this spectrum with the rest of the horde without interference that's visible to the user.
Is there an initial process of linking or 'pairing' the remote with the controller? If so then you are probably fine.
If not, or if the remotes are IR, then you might have a situation where every controller of particular design will respond to any remote of the same design. In IR, every manufacturer has their own code, and larger manufacturers have many codes, to minimize this problem. If you've ever set up a universal remote to work with your TV, you may have noticed that there are hundreds of codes to choose from. If you have two identical TV's in the same room, they will both respond to both remotes. But if you have a Phillips and a Samsung, or even an older Philips and a newer one, they won't.
However most RF devices are 'paired' so they will ONLY talk to each other, even if other identical devices are in the same area.