I've no idea about puree as I'm doing blw but it doesn't seem like loads. And my girl has just dropped down from 40 oz of milk a day to 25-30, now she's taking in a substantial amount of food. She's been on 40 oz since about 5 months old. I was concerned that was too much but I was told it's fine, and she's very good at self-regulating. They all are!
Is she following her centile line on the chart, or is she shooting up through them? The charts aren't the be-all-and-end-all but they can be a useful indication of whether a baby is gaining appropriately. If she's sticking to roughly the same area of the chart over time, there's not really any problem. If she's gone from say 50th to 99.6th over the space of a few weeks at this age, then yes, you'd be concerned.
They don't do height at our clinics either, I think the next time it'll be checked is at the 8-12 month check? I do a rough approximation of her height myself, e.g. the other week I noticed standing up the top of her head is level with the underside of our kitchen table, so I measured that

I know they're meant to be measured lying down with a special measuring tool when they're under 2, but it gives me a rough idea, lol.
As for not moving, she's still so young, it's perfectly normal to not be crawling etc at her age. They are all so different. Mine is walking now, my friend's LG started walking at 11 months, and another friends baby boy didn't walk til 15 months. All three are normal, happy, perfectly healthy children. There's no reason to worry about motor milestones so early...crawling isn't even on the list because not all babies crawl...some just get up and cruise one day
I really would ask to have a detailed chat with someone, and maybe get someone you trust to be with you to support you, your OH or your mum or a good friend who knows your baby well. It sounds to me like the HV's 'advice' has really shaken your confidence and worried you, and you need it to be cleared up so you can continue doing the fabulous job you're clearly doing.