Absolutely not. The Flash line and Blue Beetle line have some of the best transfers in the business.
As far as Marvel goes though... oof. Ooof... Yeah, kinda. Marvel doesn't really mantle-pass at all, and if it does, it's usually only temporary until someone is brought back to life. Laura Kinney is a great example of someone who has taken on the Wolverine mantle, but Logan keeps coming back. Ben Reilly was cool until Peter Parker came right back. Sam Wilson wasn't in the Captain America role long before Steve de-aged and came back. Marvel... really doesn't do Legacy.
Actually, thinking about how Steel is a great example of a mantle-bearer without going supplanting the original in name and powers, Marvel does have a few actually.
* James Rhodes, was Iron Man for some of the eighties before spinning off into the still prevalent War Machine * Kate Bishop, Hawkeye
OH! OH!
Marvel's best legacy character? Scott Lang, Ant-Man.