It depends on how you’ve configured WP Statistics. By default, WP Statistics is a privacy-focused analytics tool that doesn’t require user consent, as it doesn’t collect personally identifiable information (PII). For more details, you can refer to these links:
To check if your WP Statistics setup requires consent, go to the Privacy Audit page in your WP Statistics settings. At the bottom, in the FAQ section, the first question and its answer will guide you. For more on the Privacy Audit feature, see: Privacy Audit
If your website requires user consent based on WP Statistics settings, you can integrate a compatible consent plugin. More info here: WP Consent Level Integration
With consent enforcement, you might see reduced traffic, similar to what you experienced with GA4. However, the good news is that if consent is required, you can enable the Anonymous Tracking feature, which allows you to collect traffic data without losing insights. Learn more: Anonymous Tracking in WP Statistics