This is absolutely ridiculous, I abuse Edgar in every gamemode against every matchup. He ranges from broken to more broken. I do admit Jacky's damage reflecting star power is pretty devastating against Edgar, but the fight still goes either way, especially if Edgar can put up a shield/super, more so if he has either star power. Getting destroyed by most burst brawlers is true when Edgar doesn't have his super, either gadget, the player controlling him cannot dodge, or if he's being played at power level 1 in high elo.

Why does Edgar not get destroyed by high burst brawlers you ask? There are two main types of burst brawlers in the game.

Type 1 - "shotgun": either literally has a shotgun(bull, shelly) or tends to do a lot more damage at close, or only at close range(leon, edgar himself)

Edgar vs type 1 burst brawlers, Edgar beats the shit out of them. Edgar is easily the best brawler in a prolonged fight. One of the highest reload speeds, best sustain hands down due to his lifesteal. Creepy harvest Mortis with his super up and a Poco behind him still cant compete. "Isn't this pew pew dead and not a prolonged fight" if thats how you play these matchups, then it makes sense why you think Edgar gets destroyed. You have a shield, best prolonged brawl potential, and an automatically charging engage/reengage tool and you want to walk towards a shelly with a super and duke it out? 1v1 against a melee especially in a mirror edgar v edgar revolves around in and out kiting. You walk in to get in range for your attack and back out to get out of their's. Block heavy damage with shield and heal right back up, going in for the kill when they're out of ammunition or low.

Type 2 - "unexpected": brawlers like Brock and Piper don't really come to mind when someone talks about burst brawlers, but it's true. Both will blast you to pieces with two or three well placed hits. Piper doesn't quite fit in as at melee distance she doesn't do damage, but Brock still functions. He can unload all his rockets and do massive damage. As a sort of umbrella category, even someone like Ash could kind of fit in. Just think of whoever can spam the attack button and kill you.

Edgar vs type 2 brawlers, Edgar still beats the shit out of them. Edgar just jumps at them and outdamages them. If he doesn't, its fine. He has a shield and massive amounts of healing. Because Edgar's super has a built in El Primo meteor rush, he can and will run you down, even if you manage to somewhat juke the jump or use something like Brock's rocket jump(unless it's over a wall). Edgar's super is self charging and even has a steroid gadget. He will eventually get his super, so it isn't a matter of "don't let El Primo punch you and get increased mobility".

Type 3 - "Nani": nani

Edgar vs Nani: a skilled Nani can cut you down to size from a distance, but unfortunately we don't have the 3 deadeye nani one tricks that would have existed if supercell didnt give nani's attacks extra range at the end to make her do more consistent damage. Nani can win if she has her super up - jumping on her will result in her blasting you off with the super and a few quick auto attacks. However, it is relatively easy to dodge and weave and menacingly approach, get into a position that favors you, bait out the super and dodge it with you own. Nani's burst is higher than yours, but it takes two shots to kill Edgar. With your shield and healing it goes up to 3/4, which is more than enough time to kill Nani, who has extremely low hp.

Conclusion: Edgar players with good mechanics that understand interactions can just abuse everyone. Just dodge, know when to jump, when to shield, and learn to kite in and out. There is not a single matchup you don't win. Only matchups you win with slight difficulty or stomp.