Is it okay if I just Primed / dechlorinated some tap water and cleaned the sponges/media with the primed tap water? Thanks
Yes, I have been cleaning bio media in this manner for many years.
Bacteria aren't as sensitive to chlorine as fish, particularly when the chlorine is at the level of city water, so they can withstand/survive a washing/cleaning.
WRONG.
Chlorine is a disinfectant, and will most definitely kill bacteria upon contact. How much bio-bacteria killed will be dependent on both contact time, as well as the residual level of chlorine/chloramine in ones taps. The fact that this hasn't presented a problem for some folks simply means that their tap water contains very low levels of chlorine, the same reason how some people can get away with using little to no conditioner when performing water changes. IME in this hobby it is never a good idea to generalize about levels of disinfectant such as chlorine/chloramine as they can vary from 0.0 ppm to as high as 4.0+ ppm within the USA.