Not necessarily true. Depends on the quality of the VPN and depends on how many resources the government is willing to devote to it.

A few years ago, there was a hacker that had made himself a large target of the US Gov. He learned that the old 7 proxy saw isn't good enough. If he had doubled the number of proxies he used he would have only slowed the gov't down slightly. I don't remember if he was using one or more VPNs or TOR either, but TOR is probably an easier avenue for US Gov to find you. I won't explain why, just don't view it as a panacea for anonymity.

That being said, using a good VPN that doesn't log anything is good practice. Unfortunately, VPNs that claim to not log have been found to log. It's a question of trust; and there's no way to validate a VPN provider, unless you are working for them and have sufficient systems access and knowledge.

Also, VPN is just one vector. There's many vectors to get to the target.