I don't think seeing things like public vs pte sector is the correct thing to do.

You should evaluate each job offer and the organization individually then make a decision which one better for you.

Though there are some general assumptions for both sectors, there are enough exceptions to be more careful.

For e.g. Making a decision of Business Analyst at Google vs Events Marketing Manager at National Arts Council is very different from comparing Key Accounts Executive at Singtel vs Liason Officer at MFA. You cannot just look at public vs pte sector angle.