I agree with you, SMS as implemented almost everywhere* is bad, adding an account takeover path (the reset by SMS) with insufficient value-add to offset that 100% guaranteed (see research I linked elsewhere in thread) path to account takeover.
And as to "You're not seriously saying that adding a second factor is reducing security?" -- yes I am, when it's not a second factor, it's implemented as an "only factor".
* Note: And by "as implemented almost everywhere", I mean so indistinguishable from everywhere that that effectively boils down to "SMS is bad", much easier for users and builders to understand, when better options are available.
We can agree that password reset via SMS token is bad. It basically reduces everything to one factor login via SMS.