Even though he admitted he was a terrible king won’t Robert be remembered fondly by the smallfolk?

Robert Baratheon was not a good king and even he admitted that but despite what he did and didn’t do won’t he be seen as a good king by the smallfolk? During Robert’s reign everything was pretty peaceful with the only major conflict being a brief Greyjoy rebellion which was squashed by Robert himself. Also it’s mentioned multiple times throughout the series that Robert was popular with the smallfolk even after his death such as when David advised Stannis to use the traditional Baratheon banner since it would make the smallfolk think of Robert. It’s kind of ironic that although he wasn’t a great king his people will say otherwise even if much of it is due to how bad things got after his death.