I cannot imagine why not.
I don't particularly care for self-tapping screws for anything important.
Dustin,
The rest is not as much adressed to you (though if I say anyting you don't already know...)
but to others...
Though I'll comment that "swaw damping", via a friction device doesn't fix
the real problem.
"Sway" of a towed trailer is caused by one of three things.
1)Insufficient static tongue weight
2)Insufficient dynamic tongue weight (Aerodynamic forces tend to reduce tongue weight)
3)Straightness of alignment of the trailer axle (generally more on single axle trailers)
Insufficient tongue weight can be aggrevated by excessively compliant rear suspension
1) I've never seen a vehicle with a "Four link" rear suspension that wasn't
aggrevating to tow with.
2)Soft rear tires
3)insufficient rear anti-sway bar
4)Pilot induced oscillations
On Pilot induced oscillations, most drivers even those relatively experienced
with towing trailers tend to try to unconciously damp out the lateral oscillation
we know as "trailer sway", they often get their corrections "in phase" and make the oscillations worse, when an "out of phase" correction of simply holding the steering wheel rigid (braced against a knee) would "kill" the oscillation.
Additionally if you have electric trailer brakes momentarily applying just the trailer brakes will kill sway almost instantly if the situation isn't cause or aggrevated by aerodynamic drag (also known as excessive speed)
And while I think a friction brake sway control is a good idea, I'd personally find out what imbalance is causing the sway before attempting to damp it out mechanically.
Because even with your friction brake device the underlaying "Sway" is still there and if your device should work loose, fall off, the sway could come back, with a vengance when you least expect it.
Frankly the first thing I would do would be to install stiffer springs in the tow vehicle, along with stiffer (higher load range) tires on the tow vehicle. this is all to "support" the next step which would be to either redistribute weight in the towed load (move weight forward) or add weight to makle the trailer more nose heavy.
If dealing with a camper, which has a large exposed frontal area I'd think real hard about some sort of air "deflector" to smooth the airflow around it.
The low density and frontal area of campers tends to make them tip "nose up" at speed, often this is something that happens suddenly at some critical speed.
The effect is rather like a high speed hydroplane, say a drag racing boat, suddenly tipping nose up at speed...