Is this outside security camera wiring correct or lazy?
It sounds like you are near salt water, probably get a lot of sun.  This is a bad place to cut corners on outdoor rated, corrosion resistant materials.  I doubt that those white wires are rated for outdoors / UV resistant.  I am sure that those natural colored (not black) cable ties are not UV resistant.  I couldn't rule out they just forgot or just didn't care, but using those outside is usually a sign someone is very inexperienced, that's like first day on the job stuff.  

The nail and plastic saddle type staples that were used to mount the black cables do not appear to be outdoor rated, the nails are rusty and may eventually corrode to the point they pop off.  They also probably don't clamp the cable snug enough to hold the cable straight for a nice neat appearance.  

It's very lazy to use old unused cable as a means of support.  There is a code requiring the removal of abandoned cables, but it wouldn't really apply here.  Still, it's sloppy.  

Ideally you would do something to hide the cables - run them in the walls, or install them in conduit - but that can get expensive.  But at the very least don't build up a bundle - remove the old cable and reattach the new cable to the building surface with a suitable fastener.