I agree here with Laughing Storm. I think Targ had a rough time against a fast Bara deck...at best it probably won 50-50 (assuming equal level of players, etc.). With Targ box, one might think Targ's chances have improved. On the other hand, Heir doesn't give Targ as long to stabilize. If Bara is running their Fury plot and Heir (and I agree with others that this is probably better than running TLS as the restricted card), I expect Targ to lose most of the time against a Bara rush deck (again, assuming equal level of players, etc.).
Considering everything, I think Targ probably can build a deck type that beats Bara 70% of the time, but that deck/build probably loses 90% of the time to a decent Martell match up. So like with teching against any particular build, the Targ player gives up a lot. A Targ build that is a bit more balanced will probably still lose 50% of the time to Bara and 60+% of the time to Summer Martell. In the end, maybe Targ's success is just going to come down to how well the player anticipates the metagame composition?