If you don't fully seal the jar you don't need to burp it. You can use any of the following:
- cellophane held on with an elastic
- mason jar lid screwed on so loose that the inner piece can move freely
- an air lock for wine/beer
Vinegar will inhibit many microorganisms, but the ones you care about the most when it comes to wild fermentation (lactobacillus, yeast, and acetobacter) should be ok at low concentrations - keep in mind 2 of these produce their own acid so they have a fairly high acid tolerance - yeast works at a pH of 4-6 though - a 50% vinegar solution is 2.5% acetic acid, which has a pH of ~3 which means it is 10x too acidic for yeast to function
Anything you boil will have all the microorganisms killed off - keep in mind pickling and fermentation are different - recipes that require fermentation will have you cool the vinegar solution before covering the vegetables and that flavor will continue to develop the longer you leave it. Recipes with heavy vinegar content added while still hot to the vegetables are pickle recipes - the flavors will meld over the first couple days but after a week or two, that is when the flavor development will stop - these are the going to be the recipes that don't explicitly tell you to burp the jar, store uncovered, etc.