To clear up the confusion, the school that has temporarily halted solo Touch and Gos appears to be OAT at their Goodyear, AZ training base. They use Piper Warriors for the solo flights. Lufthansa also train cadets at Goodyear, where they use Beechcraft singles.
The posts regarding Cessna's are relevant in the context of the discussion started by wg100 about whether this no solo T&G practice is common or not, but neither of the schools at Goodyear use Cessnas, so a bit of confusion has crept in.
I'm not sure why everyone is so reluctant to name the school, as this is not a slander issue, except maybe for the few who have jumped to the conclusion that greed is behind this rather than safety.