No, you should NOT just order those tubes.
I don't see what harm it would do...since there are thousands of Mesa amps out there running exactly that way.
Mesa's grading system isn't current-based, it's a copy (and a refinement) of the Groove Tubes system - the same guy built them. They measure primarily headroom, that is they set the tubes up at a 'standard' operating point and start applying AC input signal. They measure the input voltage when the tube starts to distort, and group and rate accordingly. Plate current is a secondary concern for them, but my experience with Mesa tubes is that the matching is pretty good and also not variable with grade - that is, a set of "yellow" tubes, say, doesn't draw significantly different current than a set of "blue".
If you want more info about their matching, email Roy Blankenship -
http://www.blankenshipamps.com/ - he was production manager for Groove Tubes for a long time.
Mesa biases their amps pretty cold, by "Respected Internet Amp Tech" standards, so the chances of ill effects from an outlier are pretty slim.
The current Mesa 6L6 (STR 440, I think they call it) is the same Chinese tube that Ruby sells as the 6L6MSTR. It's $42 a pair from Mesa; yes, you can get tubes a little cheaper from some of the other vendors, and as mentioned earlier there are some that will provide sets with similar current properties as the Mesas, but I doubt that over a matched...whatever you call a set of 12...you will save much.
The idea that you have to precisely bias an amp to some exacting specification is a little pedantic, IMO. You should verify that everything's inside a safe envelope, but that envelope is pretty large, and Mesa tubes, for any other faults, are pretty much guaranteed to get you there.
Further, since *most* bass players do not drive their tube amps into full-on power amp saturation, the tonal effects of differing bias conditions will pretty much be nonexistent, too.
So...my opinion is, the Mesa tubes will work just fine. The only thing you really lose is the ability to easily try different brands.