What exactly constitutes the Wings' "modern era" is a bit subjective.
Some possibilities of what could be considered the "modern" era:
1) since the last time the Wings missed the playoffs in '89-'90 (yes, Ysebaert was part of this era)
2) since '91-'92, which was Lidstrom's rookie year and the first of many years where the Wings were clearly an elite NHL team. Again Ysebaert was there.
3) since Yzerman's rookie year ('83-'84). This one is a bit debateable, as the Wings were no longer the "Dead Things", but weren't exactly top competition. Again Ysebaert was part of this.
4) Since Wings first recent cup ('97). Only bandwagon fans consider this to be the beginning.
5) Since Wings first recent trip to the finals ('95). See #4.
6) Since sometime after '97, which means that you are too young to remember any of #1-#5, or are a bandwagon fan.
I use the term bandwagon fan affectionately--no hard feelings. I am partial to #2.