I'm going to address this from a general perspective because very few people seem to understand the relationship between speakers that present a difficult load and the amplifier requirements to drive them.
For example, a speaker that has a variable impedance curve may present a 4 ohm load at 250 hz and an 8 ohm load at 3000 hz. I'm going to spare you a bunch of electrical equations but suffice it to say that in order to have a flat frequency response the amplifier needs to be able to double its power into 4 ohms. If the amplifier puts out 100 watts at 8 ohms and the same wattage at 4 ohms then this speaker will output less energy at 250 hz than 3000 hz. This means that these speakers will not have the frequency response for which they were designed. In this example, you will have weak bass around 250 hz where the impedance drops to 4 ohms.
So, how does this affect listening at low volumes? It makes no difference. The impedance curve remains the same regardless of volume. The same frequency response anomaly will be there at low volume as at high volume.
I couldn't find a Stereophile review of the 802 D2 but there is a review online of the 802 D. Stereophiles is the only major audio publication that tests the equipment it reviews. The 802 D presents a difficult impedance curve combined with a pretty severe phase angle which presents an even more difficult load on the amp. I suggest you read this review, and especially the measurement section, to get a better understanding of the demanding nature of this speaker.
In order for your speakers to sound their best you should use an amp that is capable of putting out high current into low impedances. Again, volume doesn't matter.
Your Levinson 532H is a very good match for these speakers. It doesn't quite double it's power into 4 ohms but it is a robust amp. You would have to spend a lot of money to get something better. Stereophile also has a review of this amp which is glowing in its praise.
I'm running a pair of Thiel CS6 speakers which are notorious for presenting a difficult load to an amplifier. However, I don't think they are much more demanding than your B&W's. The amplifer I'm running (Krell KSA 300S) was one of the amplifiers that Jim Thiel used to design and voice these speakers. My system sounds wonderful and I'm comfortable that I'm hearing the sound that Jim Thiel intended. If you decide to go with a lightweight amplifier, say with tubes, it will work, and you may even like the sound. But it will not be delivering the frequency response that B&W intended.
My advice is to sit back and enjoy the music from the truly high end system that you are blessed to have. But if you want to upgrade your amp I would recommend going with a heavy solid state beast (i.e. Krell, Pass, Levinson, Gryphon, etc.) that is rated to 2 ohms.

