Testing positive means just that -- your test for the virus confirmed you have it.
Not everyone who tests positive has symptoms.
Not everyone who tests positive for antibodies felt sick when they had the virus.
One of the worst things about the virus is that people who don't yet feel the effects of the virus can pass it along to others, others who might suffer worse than the carrier who didn't feel symptoms at the time, and might not have as bad of complications as the people they passed it along to.
I agree that information would be good to have, but teams are not going to release such specific health details. They tend to announce the number of positive cases, how many were asymptomatic and how many if nay were hospitalized. It's up to the players if they want to give out more information than that. Thankfully none of my immediate family and friends have had the virus. A person I know through work has. A family member of an in-law has. I have family members in health fields who have interacted with positive cases of varying degrees. Some people breeze through it. Some people say they thought they were going to die. Some people do die. Your age, your overall health, and any complicating factors -- diabetes, heart disease, etc -- seem to have a significant impact on how you fight it off.