Are 340’s rare

I wouldn't build a 68 - 73 A body or a 70 - 73 small block E body with anything but a 340, not even a clone. That was the performance small block they were available with. Don't care if your 360 cost half as much and has 100 more hp...just not interested.
340 guys take a lot of heat?

And with an attitude like that lose a lot of races. Now if you are a car show guy I could just lie to you at a show and you would never know.