Does it help when dropping a 153A warrant officer packet to have a more senior warrant recommendation?

I am in the process of completing a 153A Warrant Officer Packet. I have already met the prerequisites for the physical and passed the SIFT (scored a 54). I have a 264 PT score and 121 GT score. The commander has already written my recommendation letter, and the battalion commander has agreed to write one for me as well. However, as I am stationed in a forward support company rather than a flight company, my communication with the 153A warrant officers has been limited to those at the CW3-CW4 level. Would a recommendation from one of those be just as likely to qualify my packet with the board, or should I aim to receive one from the CW5 in the Battalion? Note, I have only interacted with this person once in the whole time I have been in the unit.