As many other commenters have already pointed out to you, that is exactly what the phrase usually means in this context, and more importantly it's exactly what the original phrase "make any Thing but gold and silver Coin a Tender in Payment of Debts" was understood to mean in the U.S. Constitution at the time it was written and ratified. The use of "tender" in this way long predates the writing of the U.S. Constitution, as this example[0] shows:
> It was the doctrine of the middle ages that for every commodity or service there was a just money equivalent. This had been the dictum of the Roman law. "However diversified may be the object of an obligation, it is always transferable, in the eyes of the law, into the payment of a certain sum of money." Though the English law of contract was not fully developed before the time of Henry VIII., the action of debt which lay to recover a sum of money was one of the early actions developed, being in use at least as early as the time of Henry I., and it is from the pleas allowed in defense of such action that we have the word "tender." The debtor could of course discharge his obligation by payment of the sum claimed; but sometimes, when there was dissatisfaction on the part of the creditor, he could acquit himself by tender to the creditor of the amount admitted by him as due. Should the creditor refuse the sum tendered, the debtor could then deposit it with the court, leaving with the court the question of the adequacy of the tender. (emphasis added)
That's quite problematic really. The word does certainly not come from the first reich and its Romance roots appear questionable. As etymonline points out, the er-ending should regularly be lost from Anglo-Norman-French. Therefore it seems more likely to me that it is a Nordic influence, as -er is the usual verb ending e.g. in Swedish, jag kommer ham (I come home), and it is still used as a verb at the end of your excerpt, tendered. In addition, to extend ones wishes shows that both words can be understood to mean "to offer", and ex-, es-, s- appears particularly often in French as if reanalyzed after a minor sound change (conversely, t > ts, tsh, ch is much more common), and this is probably still seen in German stunden (to extend a dead-line) if other explanations (i.e. from Stunde "hour", or akin to stun). Before this background it's nigh impossible to guess the origin, if Latin was still prefered and often corrupting native words in writing. In particular, it could be equivalent to "currency" if cognates mean approximately current, on going, cp. German ständig, also the verbal phrase Kosten erstatten. However it's likely more complicated than that, or "immitative" as the OED would say.
So, all things considered, Breckinridge is likely refering to one of those maximally English etymologies.
I reckognize that this has little bearing on an 18th century interpretation if the word was free to be interpeted. It just has nothing to do with literal interpretation, and beyond that I'm not really interested, or not equipped to argue on the basis of case law.
> It was the doctrine of the middle ages that for every commodity or service there was a just money equivalent. This had been the dictum of the Roman law. "However diversified may be the object of an obligation, it is always transferable, in the eyes of the law, into the payment of a certain sum of money." Though the English law of contract was not fully developed before the time of Henry VIII., the action of debt which lay to recover a sum of money was one of the early actions developed, being in use at least as early as the time of Henry I., and it is from the pleas allowed in defense of such action that we have the word "tender." The debtor could of course discharge his obligation by payment of the sum claimed; but sometimes, when there was dissatisfaction on the part of the creditor, he could acquit himself by tender to the creditor of the amount admitted by him as due. Should the creditor refuse the sum tendered, the debtor could then deposit it with the court, leaving with the court the question of the adequacy of the tender. (emphasis added)
[0] Breckinridge, S P. "Legal tender, a study in English and American monetary history". 1903. Page 22. <https://archive.org/download/legaltenderstudy00brecuoft/lega...>