Now unlike many readers, I actually never did experience Margaret Wise Brown's The Runaway Bunny as a young child (because while as a child in Germany I did get Eric Carle and Maurice Sendak picture books read to me in German translation, Margaret Wise Brown's work was unknown to my family). And perhaps this is also one of the reasons why the book (and first encountering The Runaway Bunny as an older adult) actually feels a bit uncomfortable and even a trifle strange with regard to both the author's message and how her presented narrative unfolds.
For while I do appreciate the mother rabbit's all encompassing love for her little son, the fact that she is obviously not in any way willing or able to grant him any kind of distance or freedom, that any attempts by the young bunny rabbit to assert himself, to run away a bit (to get some necessary distance from his mother) are going to be met by the mother rabbit chasing after, capturing her son and once again tying him totally to her and her passion for him, to and for me on a textual and narrational level, this makes The Runaway Bunny read as rather stalkery, like at best a tale of a total helicopter parent who cannot and will not even remotely consider leaving her son alone a bit, who basically has to always be near him, attached to him and know everything about him (and who will also actively thwart any attempts by her child at achieving a bit of distance, privacy and freedom).
And thus, while I do appreciate that the combination of Margaret Wise Brown's text and Clement Hurd's accompanying illustrations are considered magical and a classic (and probably also full of fond childhood memories for many) and albeit that I have indeed found especially Hurd's pictures innovative, imaginative and sweetly detailed, I just cannot get over my personal negative feelings regarding The Runaway Bunny (and especially as an adult who as a college language instructor was in fact once stalked by an obsessive student) that Margaret Wise Brown's printed words (even if they do show and are indeed imbued with much love and feeling) are also possessive, obsessive and really in my opinion smack far too much of over- clinginess on the part of the rabbit mother (and are therefore also just a bit too creepy and with an inherently rather unhealthy and problematic message for my tastes).