Without identifiers and the image Property we should probably have ~10 statement groups.
This is one of the issues that has generated a lot of discussions about infoboxes at nowiki, and people can't agree whats more important. Only thing they seems to agree on is that some of them can find some item with too much statements, but the specific item is not necessarilly something they can agree on.
Actual implementation has implications for grouping and sorting. If it is possible to avoid filtering the other ones will become simpler. (Actually you must filter before you group and sort, otherwise the layout will be strange.)