This statement alone is exactly what proves it is subjective.
You’re saying there is a tonal difference between a Bigsby and something that is not a Bigsby.
Any time there is any difference between A and B you will always have some who prefer A and others who prefer B.
The designation of either one as “good”, “bad”, “better”, “worse”, “detrimental”, etc. is entirely subjective to the individual making the statement.
Your “better” might be someone else’s “worse”, and neither of you are wrong