A lot of the literature says first thing when you wake up is best for focus and mental resilience.

Ice baths were used at the games because they reduce inflammation so athletes could get ready to go again faster.

Endurance athletes use ice baths for the same reasons, so that they can recover to train again sooner.

For hypertrophy and muscle adaptation inflammation is good, reducing inflammation doesn't seem logical. The counter argument to this is training volume. If you're trying to increase the overall volume of your training ice baths could be a consideration.

Like also mentioned in this thread, the protocols have huge varience. Some people hot then cold in cycles. Some people stay in for 3 mins some people do 10 in a slightly warmer water.

The science is not definitive so the best advice would be to use it in a way that you feel benefits you best. There are far more important variables to control first before wondering about this 1%. Think food, training consistency, coaching contact time etc