I didn't know the answer and looked up a couple sources. I also sent an email to the manufacture to see what their response is.
From my reading.. copper and stainless steel should not have direct contact in a water system. I thought the entire flex was stainless so we just went down into the shop and tested the nut on the end of one of our stainless flexes.. They're made of brass which is the part that makes direct contact to the pipe end. The rubber washer isolates the stainless flex part from contact. So that makes them safe for connection to copper, brass and steel commonly used to stub out of water heaters and the piping from the wall.
Below is their response:
Stainless Steel & Brass are Neutral :
When it comes to stainless steel (301, 304 and 310) and brass, they are only two metals apart, which means they can be safely connected together with minimal risk of galvanic corrosion.
Falcon Stainless, Inc.....Where Quality Flows in Your Direction
The Original.... Since 1981
43153 Business Park Dr.
Temecula, CA 92590
800-814-8444 / 818-767-3569
Fax 818-768-8533
www.falconstainless.com