The website of your link got edited by the forum's software. It is not uncommon for some crud to be stirred up when shutting the water off and installing a new WH. You may have somewhat blocked screens on more things in the house as well. Generally, that stuff will disolve in acid (vinegar may take awhile). Many faucets protect their more delicate internal workings with screen filters and removing yours might affect the long-term reliability. If it is a check valve, (and one is REQUIRED on a pull-out), you run the risk of contaminating your water if you let the head sit in the bowl with some dirty dishwater. A hiccup in the supply pressure could suck crud into the potable water system, and get everyone sick. So, yes, if it is a check valve, it should be repaired or replaced.