Questions on recent alignment

Tires "should have" no effect on the alignment, during the aligning, as the reflector-units are mounted to the rims.
A car slightly pulling to the right can also be considered a small 'safety feature' in case a driver gets unwell or loses conciousness. The car drive itself to the safer side of the road, instead of into oncoming traffic.

But whatever the setting currently is now, get it fixed properly (by using the "skosh chart" posted earlier).