Hi Guf,
It is true that the Big 7's noise floor isn't QUITE as ink black as the Level 4, but if you certainly shouldn't be hearing a buzz. There is noise inherent in all designs and my somewhat layman understanding is that there is a moderately higher level inherent in the design due to the DHT tubes, but unless you have some very sensitive speakers it really shouldn't be noticeable at all unless you're practically putting your head to the speaker with the gain up.
Fred