In properly made furniture, there would rarely if ever be a structural component that was always under constant tension. There could be tension on a member while in use, such as a foot resting on a chair rung, but not the constant tension of guitar strings.
In all-wood furniture, the elasticity of the wood comes into play as well. At the moment, I can't think of any piece of furniture where a steel member would be constantly putting tension on a wooden member.
So for 99.99% of furniture, regular white Elmer's is fine. The alphiatic resins (yellows) have some other advantages in set up time, and are more heat and moisture resistant, and are thus preferred in many woodworking applications. Although, in some applications, such as gluing a sliding dovetail and veneering, the white PVA glue is actually the preferred choice.
I seem to recall an article in "Fine Woodworking" magazine for which tests were done, and which showed no significant difference in joint strength between the white and yellow PVAs.
Guitar (instrument) building is a unique niche of woodworking in which many of the classical do's and don'ts are not and cannot be followed.
Imagine if built you a custom dining room table, or a desk, and then told you that you must keep it at roughly 35 to 50% relative humidity, or it would self destruct.