Our primary objection to raw fuel priming was the fumes generated during the priming burn.. we found them very hard on the eyes particularly.
In the end we preheated the burners with a small propane torch (with the nice trigger burners attached) for, as you say, a minute or so, and the burners flash right up clean, no muss, no spills, no fuss, no flareups, no fumes...
The torch also came in handy to light the BBQ and melt the ends of cut lines..
1984 Fast/Nicholson 345 "FastForward"
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)