IMO, I don't think it matters how much you 'spend' monthly in-between offers, but more about how direct and succinct your wishlist is. There are always times where something may come in the store that is a certain color you want, but maybe size and/or hardware is not quite right and it may be natural for your SA to offer it up in a good faith perspective, thinking you might would actually like it. I think it's up to you to make sure your SA understands your priorities and also your "I would never touch XYZ spec with a 10 foot pole." For example, my SA knows to never show me anything with GHW or pink. Definitely not popular here, but it's not anything I would ever consider, despite how coveted either spec may be. It's not my style.
There are always going to be debates on if your "spend" and/or "relationship" will be enough for certain bags to appear, but part of your journey with H is that if you are putting such items on your wishlist, your SA should be working with you to understand what is a realistic offer and help to encourage you to build your wishlist around that. In summary, your SA should be helping you to craft a realistic wishlist, it's part of having a mutually beneficial business relationship. Your SA is, just as the acronym says - sales associate. I don't believe their intent is to withhold offers that match bags they can get approved for you, if you are a consistent shopper in multiple categories that loves the brand and someone that is proven to be loyal and shop with them into the long-term. Getting offers approved for you will only help their sales goals if your profile matches the fit the SM is looking for, and will just encourage you to continue to shop through them exclusively.
I ran into a series of offers I had to reject last year. They were close but didn't match the specs on my wishlist exactly. I was casting a very broad wishlist that is often encouraged on this forum when you are starting out. My SA and I came quickly to the conclusion we were not exactly on the same page in terms of what I was looking for, so we worked to summarize my "top wishes" and I also provided very distinct feedback in terms of why I was rejecting the bag, and what I was looking for. I had to wait another 3 months, but my #1 wish then appeared. Probably some type of luck and timing associated with that, but that's almost always the case with H at least in my experience so far. I've found the longer I've shopped, the easier they are nailing exactly what I am looking for, it's part of the whole "getting to know you and your style" and why it's so important, even when you are not particularly shopping for bags, to be vocal of what you like, and don't like colors, leather, etc wise while you are shopping. Even though it pains me to have to wait longer, and I'll complain all day about it, I am okay longer-term waiting a bit longer knowing that what I absolutely will love will appear with patience.
I definitely do not think H wants to offer things into oblivion just waiting for you to accept a bag, they want to ensure that it matches very closely to what their clients are wishing for and they want to minimize your "offers" because they want to meet and/or exceed your expectations by matching your wishlist. In hindsight, some of my favorite bags/offers have honestly been things that were not 100% matches to my wishlist, but very special, curated items that my SA/SM/SD felt matched my style and just "had my name on it" when they saw it come into delivery.