In the case of the TAM 3054, it seems that A/THR thrust assignment to the right engine wasn't limited by the right TLA reading.
Well, the right engine thrust would be limited to the right engine TLA reading (thus, to CLIMB power), I suppose you meant limited by the left TLA.
Some paragraphs in the FCOM, where the thrust-limiting function of the thrust lever position with autothrust active is described in the singular form, confirm that these limits are independent.
Bernd