You are correct. The E34L will run at a higher bias. I do not run these or have an Anthem. If you run them at the same V I bet they are very similar. Try it out. You will not hurt anything. If you have not already done so I would ask the same question at the audio asylum.com tube section. Lots more EL34 folks there who might have experience right on point.
Sincerely, I remain
Sincerely, I remain