I use Equalizer APO on my computer, and Qudelix 5K for mobile. I also have a second Qudelix 5K connected to my bedside amp for Bluetooth input and EQ.

I don't tend to need to listen to all my headphones everywhere though anyway. I have quite a lot of different headphones, and some are better for some scenarios than others.

The LCD-X I bought knowing it needed EQ, and I wouldn't recommend it to anyone unless they are going to EQ it. It's pretty heavy and one of the headphones I wouldn't pick so much for lying in bed, I tend to use IEMs in bed as they are a lot easier for that. I do have another headphone amp by the bed with the Qudelix so I can use whatever if I wanted to... but usually IEMs. If I am using an over-ear it's usually something smaller/lighter, like the R70X or HD650. But usually IEMs.

Most IEMs I don't EQ anyway, as they tend to be better tuned stock and I tend to just use them stock. There are a few that do need EQ, the Shure KSE1500 has an EQ built in to its DAC/energizer and I use that, the Audeze Euclid, I use the Qudelix. But the vast majority of my IEMs, I don't EQ at all.

There certainly are things that don't need EQ. I don't usually EQ the HD650, it's one of the few overears that is tonally near perfect stock and doesn't need it. I sometimes use that on a tube amp where the high output impedance adds bass/warmth. I'm certainly not EQ absolutely everything. But I would not have bought the LCD-X if I couldn't EQ it, because it sounds crap to me without EQ, and I could tell that from the reviews/graph before I got it, it sounds like it graphs, with muffled recessed upper mids.