It seems like a good idea at the time, you can try dyeing without the cost of expensive dyes. But there is a problem about longevity.
I've have not had good light fastness with koolaid dyeing.
As a matter of fact it has been abysmal - fuschia , blue, violet green, yellow is now back to natural.
For a good light fastness test pull out a strip of wool from a rug where you can easily replace it.
Does the strip look striped, are the high points lighter ?
You got fade....
All rugs more than a year old that are out in the open ( not rolled in a closet) have it, but we can control to what degree by using good dyes.