Depending on which part of their website you read, it appears that Daikin is not yet supported.
"Havenwise is currently compatible with Vaillant, Mitsubishi, and Samsung. We also hope to launch Daikin soon."
It appears Daikin is a closed alpha test, so it's not something you can join to test this.
I have had a look at this in the past, and because I too have a Daikin ASHP I've ignored it.
In theory, once you turn off the scheduling for both heating and hot water, and let the system 'learn' how your house heats and cools, and how your hot water heats and cools, it will 'optimise' it based on your comfort settings for time of day for each.
That said, it won't have integration to things like your solar batteries, so if it is messing about with turning off and on at weird times, you may find it interferes with how you want to manage those batteries, if you have them.
The savings listed on the website compare an optimised heat pump to a gas boiler (as stated in the fine print). That's a bit disingenuous to my mind.
I'm not personally convinced this can do that much to improve things, but I'm happy to be proven wrong. Unless it can control the ASHP at a low level, it isn't entirely clear how it makes the magic happen. Adjusting schedules and the temperature targets doesn't magically change physics. Sure, using your own house as a unique definition so it knows how it cools down, plus weather compensation and locally accurate weather forecasts, can make a small difference. But it would be tiny to my mind.
It's £50 plus VAT per year, so really it's a case of whether you believe it can save you £60 on your electricity bill. If you think it can, then it's worth a punt if your heat pump manufacturer is supported. As the first 3 months are free, I guess there's no real risk in trying it out.