Thought I don't know the resolution of my TV, I can tell you that it is very old and I can see individual pixels from 1.5 to 2 feet away. Additionally, at a little over 2 feet in depth its not exactly a flatscreen. I've found that in MY PARTICULAR SITUATION it is impossible to see cloaked people at mid range.
There are some very good balances to cloak so that its not abused:
.tracking footsteps
.shooting while in cloak drains your energy
.its usability is limited during sprint
.you don't sprint as fast
.emp grenades
.nano vision
Oh wait... forget that last one cos it svckS! Nano vision is essential to balance in crysis 3, however it is so slow to active (it should be a press not a hold), and its range of effectiveness against cloaked players is so limited that I've found it more of a hastle to use than a tool. Its slowness makes it impractical for close-range use with a shot gun or SMG, and its pitiful range makes it pointless for long-range use. At mid range cloaked players can't be spotted quickly enough.
So whats my conclusion? Nano vision is useless or underpowered at any range and any play-style.
BTW, I hope to be getting a, partially broken, HD TV in about a month! I will see then if things get better