Not necessarily...some birds process calcium differently.
See the post above yours, there are different kinds of speckles,
not all caused by excess calcium
'Speckled' eggs can happen for several different reasons...very few, if any, of which are a 'problem'.
Can be caused by:
Excess or uneven pigment coating.
Excess or uneven cuticle(bloom).
Excess calcium deposits.
Porous eggs can appear speckled.
Some birds lay them consistently, some only once...
White spots can also be excess bloom(cuticle) as well as calcium deposits or thin and 'spotty' color coating.
Speckles can vary from day to day in some birds, some birds only produce them once in a while.