Welders are their own world, in addition to their own article 630 in the NEC.
Any 240V welding machine will likely be supplied with a 50A NEMA 6-50 plug because that is the typical "welding circuit" receptacle configuration. It is common to find these supplied with a 50-A breaker on #10 or even #12 wire. The low duty cycles of welders make this permissible.
I've had to educate more than a couple inspectors on welding circuits, and then they readily admitted they never even knew Article 630 existed.
That said, some of you engineers and really savvy guys on Codes might notice labeling discrepancies with the smaller machines, but the simple fact is that everyone knows that a 20A 240V welder is plugged into a 50A circuit everyday, all across the country. The only reason they come with the smaller plugs also are for versatility when the 50A receptacle isn't available.
I've been a welder longer than I've been an electrician. I own a dozen welders and have twice Beta-tested Hobarts before they were even released to the public, because I'm active on Hobart and Miller factory websites.
Only in the last generation of machines has inverter-based technology really made dual-voltage input machines popular and affordable.