You're reading it right and your 10 to 15 x is generally accepted. The world will not stop rotating if you use a 10k load.
I think where this goes is that the preamp may not meet full specs if you feed it into a 10k load. Output voltage may be compromised, THD may be a little higher and low frequency rolloff may be earlier. It will probably be fine and not hurt the preamp but may not sound the same in your system as in another one.
The Sterophile reviews for most of the ARC preamps I've seen seem to recommend a minimum of 10K in the test section, biggest concern being low frequency roll off. I've been feeding ARC preamps into 15K for years and they all sounded fine (Ref 2, LS26, LS 25).
I think where this goes is that the preamp may not meet full specs if you feed it into a 10k load. Output voltage may be compromised, THD may be a little higher and low frequency rolloff may be earlier. It will probably be fine and not hurt the preamp but may not sound the same in your system as in another one.
The Sterophile reviews for most of the ARC preamps I've seen seem to recommend a minimum of 10K in the test section, biggest concern being low frequency roll off. I've been feeding ARC preamps into 15K for years and they all sounded fine (Ref 2, LS26, LS 25).