You guys are looking for answers that are right in front of your face, the Phoenix entity was clearly trying to appeal to the animalistic side of Logan,... the part of Logan that is the beast,..the Phoenix is a beast..it was trying to win him over to it's side by appealing to the one thing that they both had in common...rage and anger,.....the Phoenix entity clearly said to Logan.....
..."What?...you think he's not in your head too....LOOK AT YOU LOGAN....HE'S TAMED YOU....,
Earlier in the film Logan had a discussion with Xavier about.....
"Sometimes when you try to cage the beast...the beast gets angry".....
Come on you guys connect the dots....
The Phoenix entity was trying to win Logan over....trying to appeal to the side of Logan that would ignore Charles Xavier and be more willing to accept that "it" (the Phoenix entity) was the more desirable of the two.
Come on guys, you both sound like intelligent people who have been reading comics for a while,...I shouldn't have to spell this stuff out.