"Nehemiah did not depend upon uncertainty. The means that he lacked he solicited from those who were able to bestow. And the Lord is still willing to move upon the hearts of those in possession of His goods, in behalf of the cause of truth. Those who labor for Him are to avail themselves of the help that He prompts men to give. These gifts may open ways by which the light of truth shall go to many benighted lands. The donors may have no faith in Christ, no acquaintance with His word; but their gifts are not on this account to be refused. PK 634.1"
"And they came, every one whose heart stirred him up, and every one whom his spirit made willing, and they brought the Lord’s offering to the work of the tabernacle of the congregation, and for all his service, and for the holy garments."
Both passages highlight the idea of individuals being moved to contribute to a religious cause, even if they don't fully share the same beliefs. The EGW passage uses the example of Exodus 35:21 to support the idea that gifts from those without faith should not be refused.
"For if there be first a willing mind, it is accepted according to that a man hath, and not according to that he hath not."
The verse speaks to the acceptance of willing gifts, while the EGW passage discusses soliciting gifts from those who have the means. The underlying principle of accepting what is willingly given is present in both, though the EGW passage expands on the context.