Square wave TIG machines have been around for quite a while. I used to have a Lincoln Square Wave TIG 255 with the digital control panel. On a transformer rectifier machine you still need continuous high frequency on the AC output, even if it's square wave, when welding aluminum but on DC you can just use it for the start. On inverter based machines like a Miller Dynasty, which is also square wave, you don't need continuous high frequency for aluminum but do need it at the start. The reason you don't need continuous HF on an inverter is because inverters themselfs work on the high frequency principle. Transformer machines operate at 60 cycles where inverter machines operate over 1000 cycles. I've tried finding out the frequency inverters use but couldn't get an exact number except it can be over a 1000 cycles. That would explain why continuous HF isn't required. As far as changing polarity, the high end machines allow you adjust the balance/time between the - and + of the AC cycle. The electrode positive side does provide cleaning action but without the HF to cut through the aluminum oxide, that melts at a higher temp. than the base metal, you wouldn't get a sound weld. A tombstone is a very basic machine and doesn't have square wave. You can buy HF controls but they will cost more than the tombstone. I think a Miller 251 HF is about $800.