No that is not a reasonable take.
Any time someone posts about "the hate" there is a very high chance that they are making up "the hate" in their heads and projecting it onto others.
I don't "hate" Lebron, Bronny or the Lakers. I acknowledge Lebron as one of the all time greats. I also see the value of Lebron playing another year.
I can even relate to Lebron's desire to play with his son. If I were in his position that would be something that I would absolutely love to have happen.
All that said, by making his desire public, Lebron has made everything that Bronny accomplishes be questioned. "Oh, Bronny couldn't make it on his own. He is only there because of Daddy."
Lebron has also put the Lakers in an awkward position. They were basically forced to draft Bronny. Now, if they keep him in the big leagues rather than sending him down to the G league, few will consider Bronny to have legitimately made it. Also, as I pointed out above, the Lakers may well feel compelled to have a substandard roster in order to give Bronny playing time. Of course, all of this is off the table if Bronny just kills it on the court. For everyone's sake, I hope he does.
The reality is that if you want what is best for your child, it is often best to keep your mouth shut and let your child stand on his/her own two legs.
And no, none of this is "hate".