No mention of how these heads became kinked and twisted...
In any event, those heads should be excellent for tying up vegetables and flowers in the garden, wrapping parcels, bulking up bodies of floating flies, lashing, etc.
But if they are only slightly twisted, then they could be recovered. It seems that I am frequently stumbling upon Skagit head/sink tip combinations in shallow tail-outs. In the spirit of "Think Globally, Act Locally", I try to recuperate these heads as best as possible.
Here is my advice for heads dredged up from the stream bottom that may or may not help the OP.
+ Do not stretch the full line! At least until all the twists are gone.
+ Wash and polish and during that process, gently, patiently work the twists, if any, towards both ends.
The friction of polishing the line with a clean, dry cotton cloth will generate some heat and help to remove coils.
+ Add line conditioner if warranted.
+ Weigh the head and compare to the manufacturer's listed grain weight. Lying on the bottom of a fast-moving, often silty river is a good way for a shooting head to lose weight.
Science is not common sense. Much of it is devoted to a systematic documentation of what we do not know and understand.