Pickles and relishes usually have more vinegar than a typical tomato salsa.
Regarding "Gramma's Method" -vs- what the kitchen guy said-
185F salsa going into cold jars capped and inverted doesn't leave a whole lot of margin for error. Maybe the Kitchen Guy knows his salsa is at a pH of 4.0 or below. Dunno~~~ By the time the salsa hits the jar, there's a good chance it's below 180F which is the absolute bare minimum my Process Authority will allow for a sauce that's below 4.0pH. Maybe if he was starting with a 200F salsa into cold jars.....little bit more safety margin there.
I doubt a Process Authority would approve that Kitchen Guy's process for a commercial product unless it was a ForSure low pH.
If you don't know the pH of the salsa (finished equilibrium pH is not just testing the liquid, there's a whole other process for testing chunky things like salsa) I would suggest sticking with Gramma'sa method of HWB.
If the sauce is for commercial sale, you'll have to get it PA approved so that would answer the question of how to pack it for everyone. If it's for home use....it's up to you to decide what method is good for you. Typical salsa ingredients in salsa like green peppers, onion, garlic, and a lot of newer varieties of tomatoes are low acid, meaning they don't have a lot of natural acid like citrus fruits. There's a high probability the salsa wouldn't have a low enough pH just on it's own. I wouldn't risk just doing a fill-n-flip, but that's just my opinion. I'm not a PA or food scientist. Just sharing my thoughts on the subject.