I do it a little differently. I plop the chip down, first, roughly over the pads. Then apply liquid rosin over the top of the pins, with a syringe, getting all the pins and pads in a go. Then align and hold down the chip, typically with tweezers. Tack down one pin, pressing directly down on top of the pin with a lightly loaded tip. Verify alignment. If I'm using a bevel tip, there's no need to lift the tweezers and/or turn around the pcb to get the other corner. I will tack down the chip somewhere in the middle of the other side, never lifting the tweezers. Whether the bevel tip hits one, two, or 3 pins, it doesn't matter. Then finish with a modified drag solder.
I can see no reason to use a hold-down tool. Flux is my first third hand. But I will probably make one, eventually, just to see. I suspect it will be useless for me. But maybe it will prove to be useful for something I have been doing wrong all my life. Or maybe it will be useful for some problem I have just not had, yet.