This is exactly correct.
If I can add another warning to this, an amateur (ham) radio such as the Retevis usually comes with a few preprogrammed frequencies from the factory. These are basically there to test them in the factory. The use of these frequencies by the end user are not just illegal, you are also potentially interfering with licenced users and possibly also public safety frequencies. If you don’t think your federal agency cares, transmit on a frequency you are not licenced for and, especially, interfere with critical communications, and the speed at which they find you and fine you will make your eyes water.
Technically, the Retevis radios can be programmed to the same frequencies as the Motorola FRS radios, and also have the same ability to use privacy codes, but it is not legal to do so. It is quite easy to look up the frequencies for those FRS radios and duplicate them in your amateur radios using programming software, but of course no one in here will ever advise how to do that.
In any application, the mission must dictate the equipment, not the other way round. You can get good, business-class radios that will last for years but are expensive. You can get cheap consumer-grade radios like those Motorolas, as long as you understand they will break down with heavy use and you will be replacing half of them every year.
Because you seem to be looking for cheap and easy, there are some new FRS radios manufactured under the new licence-free standards that are cheap and the full two watts. Retevis even makes one example. You are just not going to find them on places like ebay or craigslist.
Keep in mind that FRS radios like those Motorolas use shared frequencies, and any make of FRS radio will talk to another make. The frequencies don’t always match brand-to-brand, but that is easy enough to look up. Find the radios whose size and features seem to meet your needs and simply be prepared to buy new ones from time to time as they get broken, stepped on, soaked in coffee or just plain wear out.