The UK was not unique in having “opt-outs” from the EU-other countries have them too:
Denmark has a formal opt-out from the Euro. Several other states (e.g. Sweden) have de facto opt-outs from the Euro - unlike Denmark, EU treaties say they have to join, but their governments have decided to ignore that legal obligation - without consequence, since the treaties failed to provide any enforcement mechanism for it
Denmark and Ireland both have opt-outs from security and justice policies. Ireland’s opt-out permits it to opt-in on a case-by-case basis, Denmark’s doesn’t. Until it was abolished in a 2022 referendum, Denmark also had an opt-out from the EU’s military policy
Poland has a partial opt-out from the EU’s human rights charter
Ireland has an opt-out from Schengen (abolition of border controls). Romania, Bulgaria and Cyprus are parties to Schengen, but haven’t yet implemented it
Your linked page says that Britain had four opt-outs before they left the EU, more than any other country. At some point it even has five opt-outs.
Not sure if they had opt-outs immediately when they joined the union (as the grandparent claims). But they were surely the member for which most exceptions were made.
Some non-Brits were actually happy when Britain left the EU, since it removed a member that frequently blocked or slowed down integration. Not sure whether this is true though.