You asked so...having used expensive connectors on the cables I have made for years, I doubt those connectors make that much (if any) difference. If you don't like the sound of your new cables, changing XLR connectors is unlikely to substantially improve the sound, IME.
I suggest using connectors with high conductivity conductors (i.e., those that use pure copper) such as the Xhadows (not the Furutech 601/602) or, for a lot less money, the DH Labs XLR connectors:
XLR OFC Copper, Gold Contact Pin
The DH Labs Ultimate XLR connector features pure copper contact pins for the highest signal integrity. It accepts cable up to 7mm with the included rubber boot, and 9mm with the boot removed.
Also, keep in mind, what you plug them into is likely to be bog-standard Neutrik chassis connectors using brass (25-50% of IACS) conductors. However, Furutech does make chassis connectors using plated pure copper so, if you also upgrade your equipment, that might be one place to start.