Haven’t read in full yet, but the report does also cite interference in cases that ended up not being investigated (including a complaint about Corbyn’s comment on facebook about the mural).
The point they’re making seems fair to me - that any political influence whether from LOTO or elsewhere on how complaints are handled is unlawful, and the Labour party fell foul of that on a number of occasions.
The problem is that to solve the underlying problem of trust, you need to go much further into what actually happened than this report seems to from what I’ve read so far - it’s only interested in the high level question of “was this unlawful”, not “what actually happened and why - was it good intentioned, but misguided or was it malicious”. That’s probably where Labour’s 850 pager would be more valuable.