1) Power issues?
2) DP not detected?
I don't understand this statement. If you turn off the monitor, do you mean you have to REBOOT the computer again or else the monitor isn't detected?
3) Monitor OFF...
Why don't you just let it go into Standby mode? I never turn a monitor off, and I don't believe your lifetime is improved by turning it off either.
4) Remote access...
You don't even need a monitor for remote access for the computer being accessed. As long as the computer is ON, or has WOL enabled so you can start it up no peripherals are needed aside from a network connection.
5) 1440p monitor:
I totally agree and I have one, and I love it. THIS is the one I currently recommend:
http://pcpartpicker.com/part/asus-monitor-pb278q
6) NVidia business practices:
I've investigated AMD vs NVidia quite thoroughly and determined that AMD is just as bad if not worse. They've completely MISLED about several things including Freesync vs GSYNC (claiming "9Hz vs 240Hz" support and that NVidia only had "30Hz vs 144Hz" and others stuff).
AMD crashed some NVidia events in poor taste. AMD made claims that they were incapable of supporting Witcher 3 and that NVidia had intentionally gimped the code to the detriment of even NVidia cards just so it would look much worse for AMD... well AMD came out with code to fix this in just TWO WEEKS and performance was almost EQUAL to comparable cards.
AMD said Mantle was going to be "open" looking like the good guys but then later when questioned closely they admitted they wanted to retain full control over the code. Not just now but forever, which is EXACTLY what they were pissed off at NVidia for with their "black box" approach (which NVidia is actually doing a good job of sorting out BTW).
Yes NVidia could look at the code but AMD wanted to plan the code and write the code so they would have foreknowledge of changes and could also tweak towards their architecture. That's not how "open source" is supposed to work.. the Mantle torch should have been a joint project or passed to a neutral 3rd party. It's a non-issue now though (and no, MS didn't implement DX12 because of Mantle).
*On the surface AMD can look like the good guy but if you dig a little deeper and do your research it's not quite so simple.
7) GPU?
Here's the tricky part, and the one I can't answer directly.
a) Write down a list of the programs you want GPU support for (Maya etc).
b) Find BENCHMARKS comparing performance and compare them.
c) If they vary significantly use the ones for the programs that you'll be using most of the time (at least for rendering time).
d) *Also note where the DIMINISHING RETURNS kicks in. I saw an Adobe Premiere benchmark that showed roughly 10% advantage using a Titan over using a GTX750Ti because most of the time it was using the CPU not the GPU.
Summary:
I hope this is clear. I'm not sure what to add, and basically it's on you to research the above performance deltas and draw your own conclusions.