In the book of Molecular Cell Biology (Big Alberts) by Alberts, at page 46, it is stated that
Acids—especially weak acids—will give up their protons more readily if the concentration of > H3O+ in solution is low and will tend to receive them back if the concentration in solution is high.
Does this mean that, in a solution with high pH, the weaker acids will behave like a strong acids in water, in the sense that they will be more inclided to give up their protons compared to strong acids?