That type of thing would be very slow over the network. Ideally, you’d have PSRemoting enabled on all of the servers, and could have them run a local search via Invoke-Command. Even then, though, you’re using a “push” model for this inventory collection; any target computers that are not responding at the time that the script is executed would be missed.
Personally, I would prefer not to have to script the delivery of this at all. If you have any sort of management software in your environment (such as SCCM), it should be able to facilitate the inventory in a more reliable way. You might still be writing the same client-side script, but without the fragile push model of deployment.
