Wills are a very different category to parish registers. There are tiers of jurisdictions of where wills were proved. If the person only had property in Suffolk the will was most likely proved at Ipswich or Bury St Edmunds - the Archdeaconry of Suffolk or the Archdeaconry of Sudbury respectively.
https://www.suffolkarchives.co.uk/collections/getrecord/GB173_IC_AA1Broadly speaking, if the person was of higher status or had property in both Suffolk and Norfolk, the will was proved at Norwich.
For the top tier for people of much higher status or had property in multiple places in the southern part of England, those wills were proved in the Prerogative Court of Canterbury (PCC) in London.
So for Suffolk people there are at least three places to look for wills. Suffolk Archives/The Hold/soon to be digitised on Ancestry. Norfolk/Norwich many of which are on FamilySearch. PCC wills on Ancestry, The National Archives and elsewhere.
Subject to corrections if there are any.