I wasn't suggesting to rotate at V1-10 , but execute a normal takeoff at VR and get airborne and sort the problem out if the problem is related to tires
I see what you're getting at. Making a go-decision is normally best course of action with a tyre burst, however if an engine fails near-simultaneously, you've got a lot on your plate and going into the air isn't the worst idea if you're close to V1. It's a complex scenario and not every pilot will make the right decision every time. Agree.