Having just answered a question on why Jesus seems at times to downplay his Deity and Messiahship when people wanted to know who he was, this question dovetails quite nicely with that question and my answer to it.
Jesus was not in the least confused about who he was and what he was about. He knew God as his Father, the same Father who sent him into the world to save the world by being "lifted up" (see John 3:14-17). Jesus neither expected nor needed other human beings to confirm his identity by praising him. That is why he told his unbelieving critics, "I do not accept glory from human beings . . .."
Interestingly, what did Jesus say next? He said, "I know you. I know that you do not have the love of God in your hearts" (my emphasis). With that statement and the statements that followed, Jesus effectively turned the tables on his critics. They accused Jesus of not knowing who he was, and so they refused to believe in him. Jesus, on the other hand, not only knew who he was and what his life's purpose was, but he also knew his critics. He knew they had no love for God in their hearts.
Fallible human beings often expect and need confirmation and praise from others to shore up their confidence and strengthen their belief they are doing God's will and doing it well. Not so Jesus. His identity came from the eternal relationship he had with his Father. That relationship was characterized by love, obedience, and it ultimately led to the sacrifice of his life.
. . . [I]t pleased the Lord to bruise him; he hath put him to grief: when thou shalt make his soul an offering for sin, he shall see his seed, he shall prolong his days, and the pleasure of the Lord shall prosper in his hand (Isaiah 53:10) KJV).
You ask if believers, in imitating Christ, are to be just as unconcerned about their press releases as Jesus was unconcerned about his. Good question. My answer is both yes and no.
Yes, in that the praise of Christians should come primarily from the God they serve, since they are but lowly servants--bondslaves, really, who in serving God are merely performing their duty. No more and no less. Their motivation should be to hear from their Master's lips one day, "Well done, good and faithful servant!" (Matthew 25:21-23).
So likewise ye, when ye shall have done all those things which are commanded you, say, "We are unprofitable servants: we have done that which was our duty to do" (Luke 17:10 KJV).
If Jesus's modus operandi stemmed from his great humility, despite his being the Son of God (Philippians 2:5-8), how much more should Christians' modus operandi stem from their humility in recognizing their unworthiness before a holy God?
But no, in that there is nothing inherently wrong with being praised by others who tell us how much they appreciate our ministry, whatever that may be. If the ministry is preaching and/or teaching the Word, for example, being told "That was a good word, brother," or "I really appreciated your insights, sister" can prove to be encouraging words indeed. A truly spiritual brother or sister will not allow such comments to "go to their heads." Sometimes one word of encouragement will pay spiritual dividends for a lifetime! After all, are not Christians exhorted to encourage one another
But encourage one another daily, as long as it is called “Today,” so that none of you may be hardened by sin’s deceitfulness (Hebrews 3:13 NIV; see also 2 Corinthians 13:11; 1 Thessalonians 4:18 and 5:11).
A balance is found in Scripture in the words of the apostle Paul:
For by the grace given me I say to every one of you: Do not think of yourself more highly than you ought, but rather think of yourself with sober judgment, in accordance with the faith God has distributed to each of you (Romans 12:3 NIV).