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Yes, that's what you would hope would happen because that is what you are paying for with any type of managed investment - better performance that more than covers the fees.
But how many years is that over, and will it keep performing better over the long term? We can't say yet, but something like less than 10% of actively managed investments beat the index over the long term.
Depends why you want to change: to reduce fees or to get into something different in the hope of better long-term performance?
Nutmeg is pretty similar to Wealthify only fees are a bit lower when you have more invested. So if you want that type of thing, Nutmeg would make sense. Personally I don't see the appeal as you are always paying something for a service that isn't proven to add anything and may have negative value - but some people like it and it's certainly not a crazy thing to do.
Vanguard is funds, and they have the Life Strategy stuff, which puts it in an easy package, without the cost or input of any magic algos So if you want to get away from the algo services to a tracker fund, Vanguard makes more sense. But why would you only consider Vanguard and not other platforms / trackers?