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It could probably be 90% remedied with adjustment. Seiko have never adjusted the 7S / 4R / 6R movements at the factory so it's really just pot luck whether you get one that has better or worse positional consistency. The SPB053 I had (6R15) ran at +2.5s/day and it was more or less the same +2.5s whatever I did to it - crown up or face up made no more than 1 or 2 seconds difference to it. All the other Seikos I've had since (apart from the SLA017) have been a lot less consistent even if they keep better time while being worn.
That's just how gravity and balance wheels get on. The idea of the tourbillon is to counteract this by rotating the balance constantly. Doesn't necessarily work though. The best solution is just to make the movement more accurate (with finer adjustment, amagnetic balance springs etc).