There is no direct evidence that you will be disregarded somewhere if you do ot have a cse specialization degree yet if you such a degree than that is going to do just good to you and there will be no harm in core cse you are taught about everything in cse but within limits of each topic whereas in specialization you take up a subject where in you study deeper like AI cloud computing or data science although people with specialization are preferred but if you have appropriate coding skills then it hardly matters but yes if you get a chance to do a specialization degree then you should definitely go forward.