Good question Trav. I think most individual investors who work on the weekly timeframe buy on the following week, most likely on Monday. This is because they run their scans or stock analysis over the weekend and it gives them time to weed out any duds that pop up in just a pure scan basis. Let's say the scan produces 10 candidates based on charts /price action etc after Friday's close, then research can be done on those over the weekend to find those that are the best of them by weeding out any that have poor financial history or poor management etc...
Don't know how the institutions and larger funds do it (i.e. which day), but I know a lot of them also use weekly systems for longer term investing.