Also, FWIW, an older GE tube manual I have has a single pin diagram for all of the 6V6 variants, which shows no connection between pin 1 and any other internal element or any other pin. With pin 1 being designated as "S/NC," which I presume means that it may either be internally connected to the "Shell," or there is "No Connection" internally.
If you have a multimeter handy it can’t hurt to see if there is any measurable resistance between pin 1 and each of the other pins, but even if you don’t do that I don’t see any indication of a risk in the quoted statement or in the tube manual.
If you do make those multimeter measurements, btw, be sure to keep your fingers off of the metal tips of the test leads (or at least one of them), or you may get a false positive as a result of measuring the resistance of your body.
Regards,
-- Al