I'm not sure why you would think that you would run faster if you ran farther.
As Deasy says if you want to run faster you need to do some shorter/quicker runs. In addition I would also say do some longer runs but slower than your current 3-4 mile pace (11 min miles plus). Increase your weekly mileage by adding these slow runs and faster runs, you should improve pretty quickly.
I agree it looks silly, especially on something we are as comfortable with as eggs.
I'm just not sure it's ludicrous application, rather a failsafe labelling mechanism. If the product contains egg it gets the appropriate allergen label, no need for any assessment or decision making, therefore no possibility of missing anything.
You can either call it fear of litigation or fear of harming customers, but if it works for them!