There are a few reasons to consider going analog.
First, the bucket brigade delay chips used in an analog delay have a distinct sound; it isn't quite hi-fi, and it's different from digital in a way that's hard to put into words, but it's definitely worth investigating. In most cases, the high end is rolled off a little, so the delay sounds very non-spiky and clean. There are players who just love that sound.
Second, when you run even a very high quality a digital delay pedal into, say, the front end of an amp (this isn't what Sage is planning, but it's worth talking about anyway), if the amp has a gain control at the preamp, as one raises the gain on the amp, the noise floor of the digital pedal is also raised, and it comes off as added hiss or background grunge. Analog pedals suffer less from this in front of an amp (again, this will depend on the quality of the pedal).
Finally, when going into an effects loop, the signal is greater than what one expects from an instrument. Some pedals do well at this, some don't, but a really good analog delay often is designed for this application in mind with greater headroom (though that depends on the maker of the pedal and the design). There are some really great digital pedals that are also designed with a dual purpose in mind as well.
On a personal level, I like the sound of an analog delay, but when push comes to shove, I use a digital delay on my board because I can do so many things with it. I do go into the front of my PRS amps, and it does get a little hissy, so I set the pedal to true bypass so when it's off, only the analog signal is running into the amp.