Yes, this happened to me on my jump to my 3rd company before. At that time my current basic salary was RM 3300, joined a new company with a new salary of RM 4800, that's roughly 45% of increment.

So, i don't agree with you that once you showed your payslip, you won't get more than 20-30% increment due to the policy. It just depends on how much and how willing the new company need the people and eager to hire you.