Happy to help where I can, man!
Ok, so... I just listened to the LCD4s on both amps. When I was listening on the Oor, I was using it with the Hypsos power supply and using the iFi as the DAC. Mainly stayed in solid state mode, but I did play around with Tube and Tube+ modes, too. I also went balanced out of both amps, using a 4.4 to XLR adaptor on the iFi. Admittedly, this might have affected the results since I didn't use an adaptor on the Oor.
The iFi definitely sounds better in the slam and impact category. The Oor sounds better in the dynamics category. I used 5 tracks that I know show these elements well. I started on the iFi and then switched to the Oor, listening to each song twice, once on each amp, back-to-back. Overall, the Oor is immediately obvious as the better amp overall. It doesn't have quite the slam and impact that the iFi does, but it's not lacking there, just isn't there as much as the iFi. It's also got a much blacker background than the iFi. There's noise floor happening on the iFi where it's pretty non-existent on the Oor. The Oor sounds like a big step up from the iFi overall. The dynamic swings, clean yet beautiful (I kept thinking of those words when I was listening) sound from the Oor. The iFi sounds really nice, but more clinical in comparison. The dynamics on the iFi also sound a bit more compressed, where the Oor sounds like it can handle low level and higher level signals with more ease.
My guess is that you may like the iFi more for the impact and slam elements you're looking for, but the quality of sound from the Oor might actually win you over if you heard them back to back.