The Internet Recovery - which you can enter by that reboot key combo Option-Command-R - will not work on a MacPro1,1. It's too old. The earliest MacPro to support that is the 5,1 - and maybe the 4,1 - not sure about that. Someone with more time on MacPros will likely provide the correct info there, but I am sure that your 1,1 cannot do Internet Recovery.
I also believe that you would never find an Internet Recovery that offers you Tiger. Oldest would likely be Lion, as that was the current system when Internet Recovery was first made available, so any new Macs would have shipped with Lion, or newer. Don't think that ever extended to older Macs that shipped with Snow Leopard or older, even if the firmware was updated to support Internet Recovery. The choice with those older Mac systems is a bootable installer,
Just double check that you have removed that device from your AppleID account, and you will be good to go.
When I sell an older Mac, I will erase the drive, reinstall usually whatever is the latest native system, without setting a user. I also usually provide a flash drive installer with whatever system I installed, so the new owner can do whatever they like on their "new" Mac. That's just something that I consider fair to the buyer.