If your transponder is an Elementary Mode S then it is not allowed to radiate lat/long.
Only an Enhanced Mode S installation can do that.
So light GA will generally now show up. A TBM700 should though.
However, there are numerous N-reg GA planes in Europe that have a "normal" Mode S installation and they radiate all parameters presented to the transponder's RS232 or ARINC inputs. The ELS/EHS distinction is a purely artificial (and stupid) EASA invention and has no relevance to the actual equipment that is used (e.g. a GTX330)