I've noticed that a few of my fig trees put out new leaves that look like they have "blood" coarsing through their young veins. It goes away once the leaf gets larger than a quarter. 
Is this indicative of a certain type of fig or is it more random than that. It's prevalent on my HC trees. Is it a Mt Etna type thing?

Have a few like that:

Caucasus 3
Negretta

I wouldn't said it's indicative of Mt Etna figs, but they do have it.

Iv'e seen it on a lot of my fig trees at one time or another.

When i prune for figs sometimes the new shoots that appear before i prune those as well show it .

Sometimes when i give lime it seems to bring it out as well.
In spring when they bud out many show it.
I grow dark types.

The color red is used by many types of plants.
It's a protective reaction in young leaves to guard against sun burn.
Also the color red is a natural bug repellent against bugs that feed on new leaves. Some bugs avoid the color red thinking it's poisonous. This protects the new leaf until it can grow larger, and become established without being eaten.
And it's completely normal.
(unless the leaf turns brown immediately afterwards,
then it's a problem to investigate..)