Mewtwo moveset?

Mewtwo has several roles and 3 movesets hit them:

Confusion/Shadow Ball = DPS Generalist, Psychic Specialist, Ghost Specialist

Confusion/Focus Blast = Psychic/Fighting-resistant Fighting specialist

Psycho Cut/Shadow Ball = Ghost Specialist, minor Dodge/Weave Generalist

Of these, the first role is the most prominent. Mewtwo isn't the best Fighting type specialist and relies on its resistance to Psychic attacks to edge out Machamp, and this only serves it for TDO and Potion-efficiency. Its roles in the first option give it supremacy over all other options. Mewtwo with Psycho Cut is useful if it's all you have, but gives way for other generalist options or other psychic options, and is only really noteworthy for its higher EPS, key if its targets are weak to Ghost and not Psychic.

I only use psycho cut because of how quick he hits, energy gain, and how he dodges. Shadow combined with it is great against everything but a fully powered up Blissey/snorlax. But that’s what Machamp is for.

i'm curious if moves still generate the same amount of energy if resisted ? i gym a huge amount and have never been impressed by shadow ball's performance in raids as a generallist over actual counters, plus most gyms feature a couple of normal types so i tend to favour pc/fb for pc's fast dodge of moves like heavy slam and dazzling gleam and fb for typing (as it's a dog of a move to use).

psychic is a sub-par move but at least it's very fast - is there much difference between fb and psychic (+stab) on a blissey in real terms ?

The mewtwo fighting role should never exist. Like seriously comparing focus blast and dynamic punch is like comparing a volkswagen to an aston martin. Yes, Machamp has the liabilities of ZH, DG, PR as you mentioned, but the utility of DP in gym sweeping is just so good by virtue of the 2 bar (and as a bonus, deals more damage as well). Mewtwo is less than 10% away from C/DP Machamp in terms of DPS wise in a vacuum, but you can't hedge all your bets on focus blast which hits late and is almost guaranteed to waste you energy.

I see mewtwo only as a psychic specialist with confusion/psychic or the confusion/shadow ball generalist for everything except normal or dark types. Psycho cut shouldn't be there either because if it is included Mewtwo is no longer best neutral DPS.

It's hard to make a case against the best neutral DPS or the best psychic specialist, but it's quite easy to argue that the fighting mewtwo is not optimal.

My Mewtwo has Confusion/Psychic. I don't want HB (self explanatory) or FB (I have an excellent Machamp already and if i want an item efficient gym attacker I use Ho-Oh). I'd like to try him out in Machamp raids but haven't seen one since I got him... typical, right?

My Mewtwo's role is strictly to be a Psychic type specialist and his moveset is the best he could have for that purpose. Before I got him I had just one good Psychic type attacker, a PC/FS Zam at lv30. My only Espeon with C/FS is ~lv26 and I can't bother spending dust on him.

Both of mine have confusion/shadow ball for a moveset. I have plenty of machamp and espeons though, so I didn't need a psychic attacker or a gym cleaner. If you have a need for one of those it might be worth considering focus blast or psychic.
As for using mewtwo... Well honestly I don't that much. I use it for machamp and jynx solo raids. Other than that, I only ever really use it when rejoining a nearly finished raid after wiping out because it has good DPS and is near the top of my CP list, making it convenient to slot in to the recommended when I'm only going to use one more pokemon. Occasionally I will use it in normal-less gyms.

TL;DR: What moveset you want will depend largely on what other pokemon you have powered up. And as someone with machamps, espeons, and a wide range of powered up raid counters, I don't use mewtwo much at all.

I'm going to go out on a branch here. I don't actually use my Mewtwo nor like its movesets

It's a fantastic generalist, but I have other Mon that I find are personal favourites I will use instead.

I will take my Machamp over Mewtwo for fighting specialisations, partly because I like my Machamp better (100% IV).

I already had a psychic team for dealing with Machamps pre-Mewtwo, so I haven't found myself in need to invest the dust. I also don't do Machamp raids anymore. I am a bit OCD and like mons with double moveset being the same typing. Psychic in this instance just isn't that flash.

Ghost moveset is too niche for me. I honestly haven't found a time when my existing Tyranitars couldn't do the job.

Maybe just playstyle preference, but Mewtwo to me is a dex filler and I like to spend the dust instead on 100% IV mon or those I find a particular liking towards. I'm sure there's a good future use for it, at which time practicality will overtake personal whims.

Psycho Cut/Shadow Ball is the preffered moveset for me, as it seems that I've been only fighting Mewtwo when it has Focus Blast. So then it's a nice addition to the team. Otherwise I don't really use Mewtwo that much because it's not nessecary for Machamp and I hate using Focus Blast.