Question

Hello and blessings,
In the series of lessons on conceptual analysis, the Rabbi brought up in today’s lesson the Talmud in Berakhot 54b regarding the blessing of thanksgiving, and the dispute between Tosafot and Tosafot HaRosh over whether one is stringent to recite it in the presence of ten, or stringent to recite it in the presence of ten plus two Torah scholars.
The Rabbi mentioned several times during the lesson that it is possible to reconcile the positions, since Tosafot is stringent in the laws of blessings, whereas Tosafot HaRosh is stringent regarding "You shall not take [God’s name in vain]."
According to the definition of leniency as a ruling that opens up more options, would it not be more correct to say that Tosafot is in practice lenient on this question? After all, he allows reciting the blessing in the presence of ten, as well as in the other two possibilities. One could answer, of course, that Tosafot is stringent because he closes off the option of not reciting the blessing—but then it is not clear what leniency and stringency mean in the concrete case at hand (when there are ten present). After all, no one rules that there are two options here (both to recite and not to recite, as in the classic case of doubt regarding blessings)—Tosafot would rule that one is obligated to recite it, and Tosafot HaRosh would rule that it is forbidden to recite it.