Well, I sort of agree that a digital signal should survive an extra stage of signal processing, but it clearly doesn't!
I've run DL (the sub 200 Hz version) a number of times and indeed it flattens the bass frequencies, but then if you play a bass-light track that has lots of top-end sparkle through speakers that can deliver this top-end sparkle, you notice that a little is lost when the DL filter is engaged, but it instantly returns when you switch to No Filter. This can be done from your listening chair so easy to test.
When you think about it, engaging a DL filter means the Digital Signal Processor is added to the signal path and any signal processor should ideally be avoided - tone controls, graphic equalisers, loudness filters, DSP, etc - they all do some damage to the precious signal that should be interfered with as little as possible.
To avoid the top end being subjected to DL, you need a system with an active XO and send only the bass to one amp that has DSP and the rest to another amp that has no DSP. In fact the bass drivers in my own speaker system works that way because it is a hybrid system where the bass drivers have their own built-in amp and DSP.