Thank you for the insightful responses.
Find in the pictures below, what I experience. The first cup (clear) is the last rinsing water after 10 hot soapy wash, and the second is the colored water after the cloth is dry and inserted in ordinary water without soap for 2 minutes. And other picture is the tiedye dyed in Magneta.

For further clarification
- I use fabric bought from Dharma, mainly Tees, and think they are PFDs and 100% cotton.
- I have ordered several dye lots, and try as much as possible to keep them in cool safe place. Though average room temperature is around 90oF.
- I also use almost boiling water, about 195
oF (90
oC) for the hot soapy washes.
I will also try out using water Softener in the washing water. This seems to be the only thing outstanding.
Thank you.
BR,
Kanmi