Let's just confuse matters a bit further - the frozen type, bought in supermarkets etc, and then cooked in the oven at home, are called by (almost) all BrE speakers "oven chips", regardless of the shape and size. I've never heard anyone say "oven fries" even if the food in question is long, thin strips of potato which would, in a fast food place, be called "fries".
I want to pick up on one thing from your previous post:
''Chips''(not ''fries'' or ''French fries'') thicker-cut ones are sold in fish and chip shops and are cooked at home.
I think you meant "or are cooked at home". The way you have worded it makes it sound as if you buy those chips in a fish and chip shop and then take them home and cook them. That's not right. The food you buy in a fish and chip shop is ready to eat. It's cooked by the staff while you're there, wrapped in paper and then you take it home and eat it (there are a few places with table service but that always seems slightly wrong to me!)