Can report the same issue. The logged-out user redirect happens even when logged in.

Am able to access the dashboard, but not the front of the site as it just keeps redirecting. Reverting back to 6.1.0 for now.

Haven’t had a chance to check the details, but I have users reporting similar login problems after today’s upgrade to 6.2.0.

It seems that the return value of this function was wrong:

protected static function user_can_access() {
		/**
		 * Filters whether the user can access the site before any other checks.
		 *
		 * Returning a non-null value will short-circuit the function
		 * and return that value instead.
		 *
		 * @param null|bool $access Whether the user can access the site.
		 */
		$access = apply_filters( 'restricted_site_access_user_can_access', null );

		if ( null !== $access ) {
			return $access;
		}

		if ( is_user_logged_in() ) {
			return true;
		}

		if ( is_multisite() ) {
			$user_id = get_current_user_id();

			if ( is_super_admin( $user_id ) ) {
				return true;
			}

			if ( is_user_member_of_blog( $user_id ) && current_user_can( 'read' ) ) {
				return true;
			}
		}

		return false;
	}

Same issue here… hopefully it will be updated soon!

Ditto, just redirected back to log in.