No the baby is not spoiled.
But, ultimately, does the Mom herself have concerns about her baby's development?
ALSO, is she taking him to his well-baby visits? At 6 months, he should have had one, then at 9 months, 12 months, 15 months, 18 months then at 24 months old.
At these check-ups, the Doctor will see if the baby is developing normally... but the Mom has to express any concerns as well.
At this age... a baby "usually" is rolling-over, sitting up by themselves, does tummy time, and/or crawling and playing and has good eye reactions meaning, that they can follow objects with their eyes etc.
IF the baby is not doing that... nor responding normally.. .then, there could possibly be some delays. But, only a Doctor can determine this.. ..and what is outside the normal range.
At this age also though, "separation anxiety" does occur developmentally and is normal... and a baby also is learning what is called "object permanence." Look these up online. These are NORMAL developmental stages in a baby.
So, ultimately, Mom has to take her baby to his well-baby check ups, and if she has any concerns about her baby, to tell the Doctor.
MANY Moms carry their baby around. There is nothing wrong with that per say... but, a baby also needs to do floor play as well, to develop their trunk muscles/neck muscles and motor skills too.
All the best,
Susan