Yes, so ordinarily we analyse an idealised algorithm running on idealised machine. However if an upper bound is clearly introduced to this idealised setting, as in the root comment, then it can’t be ignored.
Floats aren’t real numbers but we treat them like the mathematical object that they model for most purposes.
Of course, being aware of the limits of our models are important, but abusing the tragic finitness of our models to “well actually” someone is generally not helpful.