I know exactly where your question is coming from. If you search my user name you will find very similar questions being asked not that long ago. The forum members and Brian himself were very helpful with my questions. I have always bi-amped using active crossovers myself. It was when I was thinking about a new VMPS system that had me searching the passive route to bi-amplification.
There is a lot of detail required to answer your question completely and more importantly, accurately. I am not really the one to do this, but I will try with a few highlights that I now understand and maybe someone else can help fill in and/or correct where I have gotten it wrong.
You already understand the benefits using the active approach from that article. What that article does not mention is that some of them are more amplifier dependant. While it is true that loads will be reduced to the amplifiers because they will not be amplifying the entire frequency range, it is also true that some amplifiers sound best when they are more under a load. So, with some of them a reduced load is not doing them any favors. However, is more common that the reduced load will help with most amplifiers rather than hurt. The power rating and performance curves of the amplifiers in question also makes a difference in the benefits achieved.
With passive systems both amps of a bi-amped system do amplify the entire frequency range. This is true. However, they are not loaded on their output to the entire range due to the passive crossover they connect to. As such, these amplifiers are not working under a full load (similar to an active system) even though their input sees one. So, many of the same benefits are still present using the passive approach.
There may be issues in using the passive approach with some tube amps. It has been reported in this forum and elsewhere that some tube amps will have problems not having the same load on their output compared to their input. I understand that will depend on the circuit topology and tubes being used. Many use tube amps for the higher frequencies in passive circuits without experiencing any problems at all. I have just started doing this myself with some older VTL Deluxe 100 mono EL34 tube amps, and so far everything seems just fine.