I mean, figure skating is both, you don't see too many outdoor events anymore. I'm not talking about moving all indoor sports, just the ones that take place in winter. Track cycling would sometimes overlap with the Winter Olympics if they were held on the same year.
We'd also just drop the summer/winter designation, just call it the Olympics and host it every two years, one in February and the other in August. The "February games" will have sports which typically have their World Championships between November-April while the "August games" will have sports which typically have their World Championships between May-October.