Typically you would defer and work at the new job 90% of the people who built out the uk's mobile network did this.
They took redundancy from the GPO /BT got a huge pay off (3 years salary tax free) and 6 extra years on the pension and then worked for the competition.
And a pension is deferred pay not some grace and favour hand out from a feudal lord. And for some DB schemas when you hit the max years it makes sense to take redundancy as you cant build up any more pension.
Also, I can't do this is different from I can't do anything. Many people have part time or lower stress jobs in retirement as something to do. Working a 40+ hour week on a factory floor is much more demanding than teaching a welding class 2 days a week at the local community collage.
When you retire, you are basically stating that you are unfit or unwilling to continue working, and as such the company you have worked for all this time should continue to pay your living expenses.
Getting a new job basically says that you can and want to continue working.