My Wife and Mom both bought some beads for $20 per large chunky strand thinking they got a deal. When they showed it to me I set them straight, but they still liked it regardless if it was glass or not. (It was glass btw.) The material was also being sold in larger rough pieces. All the foreign dealers I met, who were carrying this material were misrepresenting it as "quartz".
As for 'cherry quartz'- there is nothing by this name in natural gems that I have ever seen or heard of. (There is cherry opal) I suspect it is the same or similar glass material being sold under a different name. Whether cherry or strawberry glass material, it is not actually 'dyed' as that would wash off with solvents. Rather it has coloring agents (usually metal oxides I think) mixed into the melt during production. I would think the color is pretty stable.
The material I examined under 10 power magnification revealed areas of splotchy red color not in solution within the clear colorless glass but held in suspension within the glass once the melt solidified. Due to the numerous suspended color 'splotches' the glass took on the overall 'strawberry' color when viewed with the naked-eye. I do not know what chemical was used to obtain this red color, but I bet a lab or glass expert could easily identify it.
BTW it is quite possible there are numerous types of this "strawberry' & 'cherry' glass floating around the market. What I saw in Tucson was all similar, but it is possible that new & different materials have surfaced that I have not seen.
Add a little dash of this chemical and a dash of that chemical and next thing you know... PRESTO! you have "papaya quartz" or "watermelon quartz" etc.
Don't be confused by names and slight variation in color. Look at it under magnification and see the similarities and differences that way. Determine if it is quartz or glass, natural or synthetic. By viewing natural and synthetic materials and with practice you'll be surprised how much knowledge and insight you can gain on our own. Reading gemological and mineralogical books helps too."
Regards, Steve Green / Rough and Ready Gems, Inc. Fine gem briolettes, solutions for setting them and ultrasonic drilling.