Auto suggest takes too long to load

Is there any way of speeding up the autosuggest feature? By the time it has found a name list the user would probably have typed in the name most times.

One thing I notice is that the search behaviour usually means it searches on the first letter immediately and then ignores the second letter while it is searching for the first letter and then it waits for you to type another before searching again, this means you always do at least two searches, surely we could get rid of the first by waiting for more of the name to be typed? Like wait for the second letter or even third, unless the user requests the search early? I mean on any sizeable system search results for the first letter are not going to reveal anything.

https://www.ads-software.com/plugins/bp-labs/