GPS/WAAS VNAV approaches and runway length

The Garmin 480 now supports LPV approaches which are ILS like
approaches using WAAS-GPS for both LNAV and VNAV.

My question. I'm assuming the LPV approach would target 1000ft down
the runway as the TDZ (just like an ILS). Does this mean that LPV
approaches will not be added to the airports with smaller runways?

For example, my homefield (3ck)has a 3058 runway. The 1000 ft TDZ
would only leave 2000 ft to get stopped, so I am wondering if an LPV
approach would ever be added at 3ck (or similar airports).