Who said it’s set in DSC’s timeframe? A post-TNG series about Picard doesn’t have to reference DSC at all.
By definition it wouldn’t be DSC then, if it made no reference to or connection with DSC. That’d be like a TNG arc that followed the Enterprise-C, and yet never airing Yesterday’s Enterprise to make any of it relevant to the “next generation”.
Picard is getting a new series, this has nothing to do with STD.