I probably have 30 or 40 putters, maybe 50. They are as old as pyratone shafted Iron Masters and as new as a current Bobby Grace. The newer putters absolutely make putting easier and more accurate for me. Especially high MOI mallet types, but also my Scotty Newport. I'm putting better now with modern putters than I ever did in my prime, the only part of my game that is better.
That being said, I still have a range of styles behind me in the office that I putt with everyday. 20 or so are heal-shafted classics, 10 or mallet styles from the 80s-2020s, and a few answer styles, both metal and ceramic. I may putt better with a more modern high MOI mallet, but the older putters are still a lot of fun to putt with. I usually putt during boring calls when I don't have to speak and will use multiple putters per session. I'll putt 15-20 balls and then switch to another style. A TaylorMade Daddy Long Legs is in my bag, but putting with my '64 8802, 345 8813, Iron Masters, or 80s/90s Clevelands and Old Masters is pure joy.
The attraction to older putters is that playing them makes me happy. Unless you are playing for money or competing seriously, what other reason is there to play any club?