Object Fetcher: set cache after reinjecting

Probably fixes the issue hj had, where polls would have different
counters between endpoints.
8 jobs for fix/object-reinject-set-cache in 19 minutes and 6 seconds (queued for 2 seconds)
Status Job ID Name Coverage
  Build
passed #75147
build

00:03:51

 
  Test
passed #75151
analysis

00:04:38

passed #75150
lint

00:01:09

passed #75148
unit-testing

00:04:00

87.1%
passed #75149
unit-testing-rum

00:07:01

 
  Benchmark
passed #75152
benchmark

00:08:13

 
  Deploy
manual #75153
allowed to fail manual
review_app
manual #75154
allowed to fail manual
stop_review_app