Understand the idea
A public network may be operated by an unknown party. Encryption helps protect traffic, but copied hotspots and fraudulent login pages remain concerns.
Put it into practice
Verify the network name with the venue, avoid installing offered certificates and use a trusted connection for sensitive account changes when possible.
Know the limits
A hotspot with a familiar venue name is not automatically operated by that venue.
The wider context
Connection tests are most useful when they are repeatable. Compare similar conditions and record the time of a problem. Faster networking can improve responsiveness, but it cannot create reliable returns or change the rules of an online activity. Avoid tools that require unnecessary device access.
Your next step
Use the practical step above only where it fits your situation. Before an account-specific action, check the current instructions from the service or device provider involved. Write down what you observed and what remains uncertain; that makes a follow-up question more useful.