Also, the website lags a little bit behind the client even if you pulse regularly, but if you stop pulsing and wait 24 hours, you can see that it does catch up.
Note though that if you uninstall and reinstall Whatpulse, or otherwise have your local statistics database corrupted, the client’s total stats will cease to match those on the website permanently; the client does not download old totals from the website, nor is it meant to. I discovered this after a reinstall and ended up just having to live with it, so if you want to keep those numbers consistent long-term, make sure you keep your database safe!
Uhm, I’m not finding this to be true. The website very reliably reflects what my pulsed stats were between 12 and 48 hours earlier, but never outside of this range. This might not be a systemwide issue, but I certainly never see my site stats “instantly updated” as you are referring to.