G'day turnstiles
I have a little stick welder (not inverter) which I was not able to run off my 3.3kVA Dunlite / Honda Generator.
I hired a 6KVA generator when I needed to weld up my gantry prior to having mains power. It was barely sufficient to do the job (2.5mm electrodes on 3mm thick steel). 7KVA is probably on the small side for running a welder but maybe an inverter type would be more successful but I have not had any experience with them.