The statement is correct in essence. A person should have a shaykh he trusts to ask Fiqh questions etc.
But you need to understand what that particular statement means when it is said by the ones that say it, and what it entails by those who use that statement. To them, to have a shaykh means, you give him 'bai'ah', a pledge that enatils you follow everything that say, and not question them even if they tell you to go and sleep someplace, eat something etc. The principle of this saying to them is that the student when he has given Bai'ah to his Shaykh is like 'a dead body in his [the Shaykh's] hands'. Where is this in the Sunnah ? Where does the Quran command us to absoluetly have a shaykh where one has to obey him everything?
Shaykhul-Islaam Ibn Taymiyyah said:
"It is not upon anyone to ascribe himself to a particular Shaykh and to have walaa‘ with those who follow him, or to have ‘adaa based upon that. Rather, he should have walaa‘ for everyone from the people of eemaan (i.e. he is a Muslim) and is known to have taqwaa (piety and obedience to Allaah and that which He has ordered and prohibited), from the Shaykhs, or from others. No one should be particularised with an increase in walaa’, except if he sees in him greater eemaan and taqwaa. So precedence is given to those whom Allaah and His Messenger have given them to. Allaah the Exalted said:
"O Mankind! Indeed we created you from a man and a woman and made you into tribes and nations so that you may know one another. Indeed the most noble of you with Allaah are those that have the most taqwaa (piety)" [Sooratul Hujuraat 49:13]
Majmoo‘ul Fataawaa (11/512).
"Indeed the people of the Sunnah do not follow anyone (unconditionally) other than the Messenger of Allaah who does not speak from desires, rather it is nothing less than Revelation sent down to him. So it is obligatory to affirm all that he informs, and to obey all that he commands. This status is not given to anyone else from this Ummah. Rather, everyone's statement can be taken or left except for that of the Messenger of Allaah. So whoever sets up an individual other than the Messenger of Allaah; such that the one who loves and agrees with him is reckoned to be from Ahlus-Sunnah wal-Jamaa‘ah, and the one who differs with him is reckoned to be from the people of innovations and sectarianism - as happens with those groups who follow certain Imaams of kalaam (rhetorical speech) - then the person doing so is from the people of innovation, deviation and sectarianism."
Majmoo‘ul Fataawaa (3/346-347).
"Indeed many - from the people who say such things - follow their desires in this, in order to elevate their egos, or to gain leadership, or whatever is connected to it. Their intention is not to make the Word of Allaah uppermost, nor is it to make the Religion purely for Allaah. Indeed they have hatred for those who oppose them, even if it is a mujtahid (a scholar striving his utmost to arrive at the truth) who is excused and whom Allaah is not angry with. Likewise, they are pleased with those who agree with them - even if it is an ignorant person with evil intentions - who neither has any knowledge or good intent. This leads them to praise those who Allaah and His Messenger have not praise and to censure those whom Allaah and His Messenger have not censured. It also causes them to have walaa’ (love and allegiance) and ‘adaa (enmity and hatred) based upon their own self-desires and not upon the Religion of Allaah and His Messenger ... So whoever does this will only bring about fitan (trials and tribulations) between the people."
Minhaajus-Sunnatin Nabawiyyah (5/225).