I'm assuming he's not updating his resume to include the new job at anywhere he's already applied. So, to them, he's not hired to anyone, anyway, at least til the OP gets to the point they might actually want to hire him - which is usually either soon or never, since getting one's resume tossed in a drawer for later doesn't tend to get anywhere.
And at the top level analysis - right now, the 32 years at one job is gonna be aa much a detriment to OP as a positive in a lot of ways - possible inflexibility with new employers, possible staleness of skills in varying areas (ie - too much of an expert in one thing and one way), possible belief that work has to be done just one way, age, etc. So, if he wants a shot at any of the other more attractive jobs, they'll either hire him on what he's already sent, so no harm done (but which doesn't seem to be happening yet) or he'll have to wait a year or two and reapply, when he will have 2 past employers with varying job tasks and responsibilities, and be WAY more attractive to the ones not biting now.
This is general b/c OP hasn't said what he does, but having seen this process just this summer, when the job level is high "enough" and attractive "enough", the level of pickiness from the employer comes into play. They want the perfect...even when it's not available, and they will keep letting jobs stay open or take chances on younger and cheaper if they have to take chances...