A proper Queen does not let her hive starve.  She will feed each and every changeling in her hive off of her own love for them.  In turn, they will feed her to keep her strong.  A proper hive is self sufficient, it has to be to sate the never ending hunger of the changelings.
In an unbalanced hive, like Chrysalis’s, yes.  The psychic link of the hive mind makes the Queen experience the thoughts and emotions of all of her subjects to a very muted extent.