- Armenia announced this week that it will leave the Russia-led CSTO, seen as Putin's rival to NATO.
- Experts say Putin wants the alliance to project Russian power, meaning Armenia's decision is a blow.
- Armenia may see this as a power play, but one expert warned it doesn't have much leverage.
Armenia's announcement that it's going to leave a Russia-led alliance that was set up to rival NATO is a blow to the image Russian President Vladimir Putin wants to project, experts told Business Insider.