I admittedly haven't played my PUP in a bit due to focusing on my DRG and BLU for the longest of times, so take the following with a grain of salt as a non-expert in the job.

While a lot of your suggestions are nice, I would argue that some of them aren't "needed" as desperately as you state. Remember that a Puppetmaster is a two-character job, with both you and your automaton, and you have to consider your contribution in addition to what others offer. For example, offering Soulsoother nearly all the benefits of a WHM along with your melee capabilities and the ability to take and shed the majority of your hate seems a bit much. I would like to say that it's in a good position as it is now; it's not intended to be a main healer, but a supportive one, which is where it's single-target Cures are good. It still has -na spells, haste, protectra/shellra, and even enfeebles on top of that; I'd like to think it is in a good position as it is.

I do agree with some of your points, however. Spiritreaver definitely needs some love. An attachment combo that forces it to use low-tier spells would be nice; alternatively, maybe a change to the Maneuver system would help, in that it uses a tier of nuke based on how many Ice Maneuvers are up. One would be T1-2 nukes, with a lower global recast on elemental magic, two would be T3-4 nukes with a moderate global recast, and three would be T5 nukes with the full global recast. Aspir needs to be lowered in priority as well to something like < 30% MP or < 50% MP if global timers for other spells are down. Stormwaker's suggested additions seem nice too.

Side note: you may want to fix your table-breaking signature. ^^;