Hello,
They will process your file basis the documents already being submitted. However, should there be a need and even if they ask, any college won't mind extending your LOA. Hence it's worth waiting. In the mean time, I am sure you all check VFS tracking at least for 50 times a day, so my suggestion is wait for another 1 week or two before being judge-mental about your application. and as mentioned earlier, please do inform your colleges about the delay and your intention to join them for September intake. However, if you get your visa in the next 10 days also, you can still join your respective colleges, though LOA might say you can't join post certain date, but practically speaking, they still take students even after 10 days of the program start date.
Cheers!