You can do it, but dont add the sediment straight to your buckets.
IF you decide to do it, consider the following method-
Throw it in some pantyhose and soak it in an aerated res. with plenty of circulation. (Air stone and pump). Wait a day or two.
When its ready turn the pump and air stone off (remove pump from res now) and wait half hour-hour until any escaped sediment has had a chance to settle.
Submerge your pump just above the surface of your tea and take the clean water from the top into alternate res; or if you have a larger res it can be easier to gently vacuum the sediment off the bottom into a smaller container . If this takes too long, you probably needed more circulation.
This Will cause minimal 'plaque' build up.
Not a bad idea to keep res temps down using organics in dwc