Most tube amps have an input impedance of around 1 Mohm, so using a DI with the same impedance seems to capture the exact same signal that most amps would see if the guitar was going directly in.
I've tried active & passive <1 Mohm DIs including the Redeye (30k) and the JDI (10k) and they definitely lose some of the signal, primarily in the high end. Some people do find this favorable however, and most distorted guitar tracks are LPF'd pretty hard anyway, because the information up there is just fizz.
When using a reamping device, the input impedance doesn't matter, because the volume/trim of the Reamp/X-Amp/Redeye dictates the volume, which determines the impedance that the amp sees. They can all go past "10" which means they can drive the amp harder than the actual guitar, so impedance at that point is meaningless as far as preserving the signal.
Also, when you plug a guitar into a stompbox pedal, such as an OD808, the guitar is only seeing 500k (500k for the OD808, different pedals may vary from 10k-500k) but it is a buffered design with internal voltage. And, because active pickups (EMG, LiveWire) involve a built-in preamp, and it buffers the signal so the pickups don't see a load the way that passive pickups do.
When preparing DI tracks for reamping, use the cleanest preamp you have available. Cheap preamps will add a lot of noise once you add an appreciable amount of gain, so just be aware of the gain staging and how it is affecting the tone.
Another tip I've found helpful (posted by Mutant) is to monitor through the reamp device while you are tracking the DI. This requires a low/zero latency interface and software, as well as both reamp device and a DI in use at the same time. What I do is open 2 audio tracks: the first one is the DI track with it's output assigned to a mono Hardware Output > Redeye > Amp. The latency on my system while tracking is exactly 5 samples, the time it takes to make the ADDA roundtrip. Doing this makes it easier to see how the front end (DI & preamp) and the back end (reamping device) is going to shape the final product. Thanks to Mutant for that seemingly obvious idea.
YMMV