"Daniel was a devoted servant of the Most High. His long life was filled up with noble deeds of service for his Master. His purity of character and unwavering fidelity are equaled only by his humility of heart and his contrition before God. We repeat, The life of Daniel is an inspired illustration of true sanctification. SL 52.1"
"Then the presidents and princes sought to find occasion against Daniel concerning the kingdom; but they could find none occasion nor fault; forasmuch as he was faithful, neither was there any error or fault found in him."
Both passages highlight Daniel's faithfulness and integrity. Daniel 6:4 describes how his enemies could find no fault in him, while the EGW passage emphasizes his purity, fidelity, humility, and contrition. The connection is thematic, focusing on Daniel's character.