I have Nalgene bottles in the trunk and in my earthquake kit at home.
If I am in the wilderness I will have some sort of dedicated water container. Very likely at least one Nalgene qt bottle.

I just don't see using the bottle as a PSK container (most of the commercial kits are junk; excluding TAD Gear but that one is pricey) because as soon as you need it you have to empty the contents and start putting them in pockets.

I keep my survival gear(and all my gear) pretty simple and I find that I carry less gear than many other ETS members in general. My main survival kit was built around rock climbing. This kit needs to be simple because there is not any place to carry a bigger kit. I don't carry a Nalgene climbing because I now I usually use a Camelbak when I climb.
The PSK needs to be able to fit in a small Camelbak pocket or in my shorts pockets. This makes one very efficient at keeping the kit small. This affects my philosophy on survival kits in gerneral.

Here is what I carry climbing.
A PSK in a Aloksak containing
Photon Freedom
6 MP1 tabs
4 Quick Tinder
Sparklite
6 REI storm matches and striker wrapped in plastic wrap.
Fox40 micro
Rescue Flash Mirror
1 gallon freezer bag
Suunto Gem compass
1 Ben's 30% deet wipes
1 single use sunscreen
1 extra battery for BD Ion headlamp (headlamp in Camelbak)
1 Emergen-C
2 4X4 non stick dressing
2 knuckle bandages

In my Camelbak is
BD Ion Headlamp
AMK HS Bivy
Ultralight Balaclava
Bandana

On my Harness is
Plenty of cordage (rope, webbing etc.)
Spyderco Ladybug partially serrated
A roll of medical tape (for taping hands and fingers as well as 1st aid)

In my pockets
BM Minigrip (maybe a Ritter)
Bic mini