Why do you say that? I agree they look dyed, but....

I see striations in one bead upper left. I see various pits consistent with coral.

What features do you see leading you to say 'calcite'?

Hi there - and thank you so much for having a look.
I'm also interested in what makes the material suspicious, in terms of color hue and distribution and surface/subsurface texture.
Here are a couple added photos. My trusty iPhone doesn't take kindly to red - for which I apologize.
Thank you again for any and all thoughts.
This morning's research centers on dyed calcite which I had never heard of.
Linda

It is probably NOT Mediterranean coral, but there are other types of coral of various colors. Some of them are dyed. Your closeup photo shows striations consistent with coral.

The most valuable type of coral is the red Mediterranean coral, the richer the color the better. Other corals are dyed in attempt to imitate it. We don't 'like' this practice, but is is prevalent in the world of red coral beads. If beadman does not approve, you probably have a less desirable dyed type of coral.

compared to some i have, i'd say yours are chinese dyed bamboo coral- and theres a good argument for encourageing people to like these less precious varieties, because global warming is a factor contributing to the destruction of the best remaining red corals at this moment in history...

I wonder whether buying and selling certain types of antique coral may become illegal -like ivory.

shape them and drill holes, and call them coral. It's all "natural".