Phil if you don't use chilli sauce because of the vinegar content you're using the wrong chilli sauce / hot sauce. I too hate vinegary things like ketchup and mayo and those overly tart chilli sauces but there are many, many hot sauces out there. The missis got me a subscription for a couple of years where I got 4 hot sauces delivered once a quarter. Never looked back.
I must have at least 10 different hot sauces in the fridge at any one time and I know they'd be great on a kebab type thing.
A doner without chilli sauce is as unthinkable as a doner without beer and having to walk home, for me.
Robbo