1B. Battery won't hold a charge.
1N. Noise from the device won't stop.
2D. [ Door is stuck and won't budge. ]
2H. [ Husband stuck on name and won't budge! ] --- (Baby Name Game)
For the auxiliary verb [will], three dictionaries I checked all have separate entries for
(P). -- A person desiring or wishing something, and
(Obj). -- An inanimate object having capability --- [the back seat will hold three passengers]
I believe that there is no difference between these two meanings (P) and (Obj), which you can confirm by trying to assign these two meanings to the 4 examples at the top.
(You will eliminate by deduction, [futurity] and other meanings.)
What do you think?
The (Obj) meaning in the 3 dictionaries :
http://www.merriam-webster.com/dictionary/will 4 —used to express capability or sufficiency ---- [the back seat will hold three passengers]
https://en.wiktionary.org/wiki/will 6. (auxiliary) To be able to, to have the capacity to. [from 14th c.] ---- [ Unfortunately, only one of these gloves will actually fit over my hand. ]
am (is, are, etc.) capable of; can: [ This tree will live without water for three months.]
- used as an auxiliary to express capacity or ability: [this rope will support a load]