Not quite, conductor diameter is important to supply proper current, which will change depending on the impedance of your speaker. There are other values like inductance and capacitance in a wire that could affect how your speaker sounds. The good news is that you can pretty much buy any cheap 16 ga copper speaker wire and not worry about it, as it would take effort to make a speaker wire that sounds bad (and those companies are the type to try to charge you $1000/ft for it!)
Thanks.
I always shy away from the ad hype of products, I have been in different industries, and have seen that a $ product vs $$$ product is sometimes identical innards, and a refreshed outer…which didn’t cost the manufacturer anything extra.
I have tried to explain this to my spouse, but she will still gravitate to buying the more expensive; equating cost with quality