I still run multiple passes, there's no drama with that it only takes a couple of seconds to grab the PCB and feed it back in the front. Part of the problem is the feed speed is a little fast so it will always take a few passes (based on my machine).
Without the temperature mod I was doing 15 or more passes, which was a pain, now it takes 5 to 7 passes and it's a lot more obvious when the PCB is "done".
The big benefit of the laminator over the iron is the laminator allows much better accuracy. With the iron you get 2 problems; 1. it heats the whole artwork, so the whole toner goes squidgy, and can smudge and move. 2. The iron heats the whole arwork and can make it shrink (I use pressnpeel blue).
With the laminator, only the one "strip" is melted at any one time, and the other areas of the PCB are cooler (less shrinkage) and stuck down (no movement, so it enables real fine tracks). I could never get great results with the iron, but the laminator is as easy as "feed it through a few times and it's always perfect".
My laminator is a Marbig brand "A4 laminator" with "adjustable temperature control" written on the box, but no model number. The front panel has a red and green LED and a switch for HIGH and LOW temperature settings. It's a very common style sold in newsagents and office supplies shops.