Some amount of white/pink noise testing and a few bass tests do help loosen up a driver's suspension, get the system warmed up, etc. White noise testing is a good way to really push an amp and tweeters hard, if you're confident it can take it.
I see no reason to pay big money for it when there are free alternatives that will do everything necessary for this.
It is useful for sure, specially with new speakers. A single driver can be (and is) usually 20-25% off spec when NIB. As the suspension is flexed, it does help bring the driver's parameters closer to spec. Also most tweeters have Ferrofluid, and this sticky and viscous mess requires heat to get moving, like a car's engine (or so I find).