Hi dr., would a 4th gen hiv test be positive at the time when patient shows initial hiv infection symptoms (during seroconversion)?

Perhaps Initial symptoms (none, perhaps low fever or swelling of lymph nodes or rash or fatigue or feeling poorly etc, etc) usually appears 2-4 weeks after infection but VERY variable and may not appear for months. Seroconversion, even with 4th generation assay, appears over the same time (2-4 weeks). Either one may appear slightly before the other