Unless your daw software is exceptionally bad it will make no difference.I agree if you insert "audible" before the last word. I strongly suspect if you bit-compare the results of the resampler used by different DAW software packages you probably would find that it wasn't bit-identical but if you did a blind test you'd probably also find it wasn't audible.
None of them will be identical since these calculations are done on floating point values and there are many, many algorithms that can be used. But yes, basically all of them should be good enough that the difference is some ultrasound well below the noise floor unless the software is just poorly made, especially for a DAW.
Integer ratio conversions can look better in some graphs or THD numbers... but with any decent converter the differences between integer and non-integer are very small, at very low, inaudible levels.
Oh and integer resampling is faster (uses less CPU). But this probably doesn't matter for what you're doing.
FWIW, there are algorithms where this is true and there are ones where it is not. Not a safe assumption in general.