I'm not sure what consumer monitors you're using, but they are certainly not "extremely off". You're making it sound like shades of green on the iPad turn into muddy brown on a monitor, which isn't true.
I had the ipad connected to a $700 LG monitor and the LG one was much much redder than the ipad, the difference was significant. It's fine for programming, gaming, and content consumption, but if you were doing any visual production work, this is unusable.
So calibrate your LG. (something you can't do on your iPad).
> "but if you were doing any visual production work..."
...then you would press the menu button on your monitor and adjust so that your monitor is usable. The default settings on your LG do not represent every monitor out there. A lot of monitors have good out-of-box colour.
> $700 LG
The monitor market is competitive. Watch reviews and choose a monitor with good out-of-box colour if you can't be bothered calibrating. Something like the ASUS Proart, or numerous others.
I'm not sure what consumer monitors you're using, but they are certainly not "extremely off". You're making it sound like shades of green on the iPad turn into muddy brown on a monitor, which isn't true.