The idea that digital crossovers lead to loss of information and that an analog processor would be superior is baffling and would give me pause about the bona fides of that manufacturer. I'll be charitable and assume he was thinking specifically of DSD, which is one of the only cases where what he says is even plausibly true (and even then it's an exaggeration). The issue there is that DSD needs to be converted to PCM in order to perform any digital manipulation at all, which will necessarily add some noise, but that's one of the challenges of the format and the amount of noise is not necessarily very significant.
Bracketing out that special case, I know of no credible authority in audio (other than Siegfried Linkwitz) who advocates for analog crossovers over digital on any basis other than lower cost in commercial systems. When compared to high quality digital filtering (like JRiver provides) analog crossovers are inherently less capable (because of space, power, and certain inherent constraints), less accurate (because parts are never exactly on spec, and part values can vary with temperature and age), less flexible (because they can't be meaningfully altered after design), can reduce sensitivity dramatically (when passive), and can add quite significant electrical noise to the system (when active).
High quality digital filtering allows for the creation of infinitely flexible, changeable at will, textbook filters that permit you to do all the processing in a 64-bit DSP engine while the data is still digital, which given the precision available in digital (and the unavoidable electrical noise of analog filters) will necessarily be lower noise than any analog implementation of equivalent filters (even assuming you could actually implement the filters in analog, which in some cases you could not even if you wanted to). If you have a high-quality DAC feeding an analog crossover, you can significantly reduce your overall system distortion and improve your impulse response by doing your filtering "in front" of the DAC (on the PC) using digital filters, and I've got a few binned analog signal processors to bear witness to that.
Buy yourself a high quality multi-channel DAC, many of which are available for less than $1000, some of which are even available for around $500. It will work far better than trying to chain two devices together, especially for a crossover where you need sub-millisecond perfect sync.