Well-disposed

adj.kind, calmformal

What it means

Inclined to respond with friendliness, approval, or a wish to help.

Reach for it when describing favorable goodwill that exists before a request or encounter

The neighbors were well-disposed toward the garden once the students explained its shared use.

playful
on board
when informal agreement with a plan is the point
not when On board signals commitment, not merely the favorable attitude of well-disposed.
everyday
friendly
when open pleasant behavior is already visible
not when Friendly describes manner, while well-disposed can be a private favorable attitude.
warm
supportive
when encouragement or practical backing is being provided
not when Supportive is active; well-disposed may never progress beyond goodwill.
warm
sympathetic
when understanding another person's position creates support
not when Sympathetic may arise from hardship and is narrower than general goodwill.
professional
favorable
when approval of an idea or outcome should sound neutral
not when Favorable evaluates something; it does not naturally describe a helpful temperament toward people.
professional
receptive
when willingness to hear a proposal is the practical advantage
not when Receptive does not mean the listener already views it positively.
formal
benevolent
when goodwill comes from someone with power to help
not when Benevolent can feel paternal and stronger than ordinary favorable inclination.
literary
amiable
when a pleasant personal nature deserves emphasis
not when Amiable concerns temperament rather than support for a particular request.

well-disposed toward
The committee was well-disposed toward a pilot with clear safeguards.
well-disposed audience
A well-disposed audience still asked the speaker demanding questions.
generally well-disposed
Local shops were generally well-disposed to later delivery hours.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.