When applied to a well prepared surface, the TW Ice spray wax is going to outlast the Lucas spray wax every time.
That's right in line with how I like to use the products though, as I only use the TW Ice spray wax when I want to apply a protective layer of wax to a surface which does not have one (or has had its wax recently stripped off), and I want to do it quickly and easily. A couple of examples of this scenario would be using it on the wheels after they've just been thoroughly cleaned with some strong wheel cleaner or degreaser, and the front fascia after being scrubbed clean of bug guts using copious amounts of bug & tar cleaner. (Both surfaces would be dry before application of the TW Ice Spray Wax of course).
On the other hand, I use the Lucas spray wax almost every time I wash the car (avg 5-6 times a month) as a touch-up wax. It is more of a booster wax than a stand-alone wax for me, as it that gets applied on top of the existing protective layer of sealant/wax while the car is still wet from the car wash water. Typically, I will spray each body panel with the Lucas product while they are still wet, and then run a single towel over all of them to spread the product and remove the majority of water (wringing it out often though). To finish it up, I will then use a separate MF towel(s) to dry each body panel and do the final buffing of the Lucas product to bring out the shine.
My car is black, so it doesn't suffer fussy spray products very well, and both of these spray waxes have done very well by me and my car so far.