Not based on or connected with any particular set of beliefs or ideas.
This word makes people think of being neutral, open-minded, or not influenced by strong beliefs.
Examples:
She has a nonideological approach to problem-solving.
The group's decision was nonideological.
The nonideological stance of the organization is important.
His nonideological view on the matter surprised everyone.
The nonideological approach to the issue was refreshing.
The nonideological nature of the discussion allowed for diverse opinions.