Yes, that is exactly how I use cable ties.  No waiting for messy glues to dry.
Thanks, that PE link was a fun read.  Its always good to see how sloppy or compulsive other people are.  Compared to that guy, I'm a real slob 

.
Don't let any of those elaborate details intimidate you if you think your methods are unworthy.  There are dozens of ways to build a box, and most of them work pretty well.
You are clearly getting infected by this hobby.  I saw in the photos of your nicely built cabinets, how you even caulked the seam between the inner cabinet wall and the interior brace.  You can absolutely 100% guarantee that no air will ever leak through there 

.  I know how easy it is to just caulk everything once you have the gun loaded with a freshly opened caulk tube.
Keep up with the good work.  And please, take more photos.