XIM central YouTube channel says it only adds 4ms of lag. I don’t know where he got the number or if he is just schilling for the beloader company. He did have a sponsored link.
The Beloader runs 250hz and sends an equal amount of packets per second, so thats where the 4 milliseconds come from. Then when using wired mode it adds around 0,3 milliseconds of packet transfer within your local network. So overall you are looking at around 4 milliseconds. You get a similar feeling when plugging your XIM directly to the console and set it to 250hz.
You will notice the difference to 1000hz but its really minimal. Certainly much better than Sony Remote Play which has a minimum of ~18 milliseconds and a maximum of 50 milliseconds delay. The only solution that is currently faster than the Beloader is PSRC, which basically is like using direct USB.