Are the terms ballpark and park specific to baseball in AmEng, or can they also be used for every which athletic stadium in which ball games like soccer or rugby are played?
For example, would a couple of American vacationers out on a tour in Europe be more likely to call a large, usually roofless facility for soccer/rugby events with tiered seating all around for spectators, a "stadium" or a "park"?
A park in which ball games (as baseball) are played. Merriam-Webster
A park or stadium in which ball games are played. (American Heritage® Dictionary)
(General Sporting Terms) US and Canadian a playing field or sports stadium. CED
Sports A stadium or an enclosed playing field: a baseball park (American Heritage® Dictionary)
These players play once a week in the spring and fall. At the end of the spring season, all the players, parents, and families get together for a big tournament and barbeque at the league's soccer park. Soccer For Dummies