Titebond Original works fine. I’ve got my daily player here that was built in 1978 and it has no issues with neck laminations.

Add me to the list of folks that have been doing this for many years with no problems, save one little peculiarity. Wood veneers and fiber veneers all work fine. For the most part any glue works fine as well. There is no issue with the fiber veneers. This material (generic name: vulcanized fiber) is made of heat and pressure treated wood fiber. It comes in a number of grades, but the stuff we use is the lowest commercial grade. It is also used as veneer backer for PSA veneers. Its mechanical properties are pretty much the same as for wood at these dimensions.

The one peculiarity for laminated necks I've found is that, if the shrinkage spec of the wood is greater than that of mahogany, and if the laminated pieces are well quartered, and if the finish is thin (FP, so-called oil finishes), then sometimes after a few years very slight ridges can be felt at the glue line(s). It took me a long time to figure out why this happens, but I finally got hold of a 50x field microscope when I had a guitar in my shop I could examine. The ridges were the glue at the glue lines, and they were exposed when the adjacent wood shrank back ever so slightly. When gluing broad surfaces with wood glue, most of the water from the glue ends up in the wood. This makes the wood expand locally. The water evaporates over a long period of time and the wood shrinks locally, but the actual glue is pretty rigid so it does not. These dimensional changes are minute, but they can sometimes be felt. The fix is to use epoxy. Again, there are so many conditions which must be met for this to happen that it may not be an issue in a lot of cases.