Mantra doesn't work as a standalone action. Tempera Grassa is a 90 second recast defensive barrier that works on all types of damage. I'm sure that DRK and GNB would be willing to swap you for Dark Missionary/HoL. I think if they wanted to preserve PCT's identity as a 'BLM-type' caster, then the job should only have been released with Tempera Coat. I think adding another layer of defensives to the role (Magicked Barrier, Tempera Grassa) was a bad idea if you want the role to be damage focused, as you're essentially heading towards Physical Ranged territory with this. Addle is plenty strong on its own, given that magical raid damage tends to be more common.
Smudge is too powerful in its current design. 5 seconds of sprint uptime is a lot, especially when paired with a 20 second recast targetless gap closer. That gives you 25 seconds of sprint every minute. If you wanted to keep the Sprint effect, the recast should probably be a minute. Otherwise, the Sprint effect needs to be 1-2 seconds at most on each use.
PCT probably has closer ties to RPR, in that you have an rDPS orientated job with a lot of burst potential. A critical difference is in the resource acquisition, though. Most jobs, even burst orientated ones, still need uptime to build up their burst. This also leads to an asymmetrical burst, where your opener is usually slightly weaker than subsequent burst windows. Motifs are supposed to be your long cast actions that challenge your movement. Yet you can stockpile them out of combat and start with a full burst. It's a bit like letting RPR charge up an extra double enshroud out of combat or during downtime. Motifs should be usable in combat only, require a target, and generate enmity/a small amount of damage on use.
Another point worth mentioning is that it's much easier to swap out with a Raise Caster on PCT than you can on melee. If you want to treat PCT as being in its own separate category from the Raise Casters, then they probably should introduce gearset splits in Caster like they do for melee. Let PCT and BLM be on a separate gearset from the other two casters. If you want equivalence, you need to lose the advantages that you currently have as well.