I would'nt say screwed is the correct term..... with Giroud and Podolski they have two forwards in a front 3 who will be able to get goals a long with Walcott, Oxlade and Gervinho chipping in here and there with goals and assists.
Last season it was all Van Persie if he is to leave which seems likely you will probably a see a more team effort when it comes to goals and not just Van Persie.
They will be fine, they always are.