It's very very unlikely to be eradicated- that would take a global effort of vaccination programs.
Slightly more likely in the 'developed' world, I would say "especially now the US isn't run by a toddler in a toupee", but I think the conspiracy theory damage has been done - MMR misinformation, Bill Gates' microchips, etc, etc.
It'll be around, and there'll be resurgences of new variants, like H1N1 variants that caused Spanish Flu, Swine Flu, etc.
The reason their were so many deaths during the Spanish Flu, was the lack of antiviral drugs, and no antibiotics to treat secondary infections.
It may mutate into a milder form, or not - problem with mutations is they're random and could go either way.
Makes sense for it to have milder symptoms in healthier people - to make it easier for it to transmit unnoticed to the more vulnerable.