The repository version on 22.214.171.124 and 126.96.36.199 was same so you need not upgrade the repository so just installing newer client should work.
Usually latest release == previous release + patches till the time of release.
In addition to Ayush G's update, read below:
When upgrading from ODI 188.8.131.52.0 to ODI 184.108.40.206.0 no repository update is required.
- Upgrading Oracle Data Integrator 11g - How To Upgrade From ODI 11.1.1.x To ODI 11.1.1.y (Doc ID 1451987.1)
- List of Patches Available for ODI 220.127.116.11.x (Doc ID 1609011.1)
- Master Note For Oracle Data Integrator (ODI) And Legacy Sunopsis, Releases and Patches (Doc ID 456313.1)