I looks a little pinky/purple to me. That said it is always a little hard to judge from pictures, if you have seen it in person and love it, go for it.
I think the light is having a lot to do with the pinky/purpling. Definitely taken with a flash and I know that distorts the color a lot!
I've talked to the seller and she describes it as a very rich red with just a touch of purple. It is unheated and a very good clarity for ruby. She says it is quite clean with the naked eye and has lots of sparkles. With a loupe she can see silk and some inclusions. I'm hoping to get some shots in natural light, outdoors and in. I just wondered from folks more "in the know" if it was a decent (not museum quality) stone that I would be proud to own and wear.
Going purely on the photos and what I see on my monitor, I wouldn't be 100% on calling the stone a ruby versus a deep pink sapphire. It lacks the vivid saturation I would want to see in a great ruby. Also looks a bit included - could be dust or just the photo quality though.
As I said above, I am speaking purely about what the photos say - the real life stone may well look very, very different - and so I could be being overly critical and mean (poor innocent stone).
It's a very pretty stone in its own right, but if it's being sold at high quality ruby prices I would pass if it looks like the photos in real life.
You MUST MUST MUST MUST get it checked for treatments. I know the seller has told you that it's unheated but who did the testing? BE testing can only be carried out by certain labs. Many of the Tanzanian Rubies are BE diffused/filled/dyed. I personally wouldn't buy any ruby or sapphire without a lab report. Some of the Tanzanian Rubies I've seen have been beautiful with gorgeous clarity but they've been treated to the ends of the earth and back.
Uppy I don't know much about this lab. Can you check to see whether they have the capability to detect BE diffusion? If they don't, then I'd be a little worried (or would make a sale dependent on having it checked elsewhere). The other issue with this ring (and I know you said to ignore the setting) but it is very similar to the settings used and sold out of China. Typically they don't have good quality stones in them. Of course, this is all guesswork and could be way off the mark.