The burden is on anyone who proposes adding new laws to the many that already exist to show why they would be any more effective than the laws already in place.
By that logic, we can then say that leaving the laws alone is guaranteed recipe for failure as they are not working. For that matter, by that logic our country - "The Great Experiment" - should have never started as there was no precedent for a democracy of this size and style to have ever worked for long.
Even if we set aside the failures of your "logic", the reality is that the most common reform suggestion is to require meaningful background checks for all gun purchases. No person with the ability to actually bring up a bill in government has suggested anything more intrusive than that in the past decade. And what is the actual cost of this? It slows down purchases by a very small amount. I own firearms myself and I know a lot of people who do as well. I have never been in a situation where I have had an urgent need to purchase one, nor has anyone I know. Even if the purchase took another 24 hours for the background check, what's the big deal? Right now background checks usually take a couple minutes at the most, but what's the hurry?