@Priscilla46, if the filter is not switched on, the IB results don't come up by default, but they come up in order of their search rank. In that, they have an advantage, but you may beat it.
The search rank is defined by several parameters (not published exactly, but hinted at and you may trst some over time). Their aim is to make the most happy bookings, as happy people will continue to use the service.
A fast reply makes the guest happy, a slow decision will scare him away and he might book elsewhere. Therefore there is a 24 hours deadline on normal requests and therefore an immediate answer brings you to the top. IB is as fast as you can be, therefore it brings you advantage, but if you stay within an hour with question, answer, decision, the difference is not notable in my experience.
Other parameters are guest satisfaction- nit so much the stars, but the question if the guest would recommend airbnb. I read somewhere, that a guest is more likely to book again after a one star experience than after a cancellation, therefore cancellations dump you to the bottom of the list.
Another parameter seems to be frequency of bookings and that seems to have a quirk in it. In Paris, normally I'm 100% booked , but if I block the listing for a while, it's slow to pick up again. I'm in such a period now: listing blocked for renovation in July and I get one night a week in August. Checking it on a neutral browser, it comes it comes up on page 7 instead of first page (with filters on), way after two pages of hostel beds.
It's depending on period though, as I'm getting bookings for September and October, which is very early for my late booking short term visitors.
Ah, another factor: the search algorithm learns your preferences. If you prefer longer bookings, the short ones won't see your listing. If you do not accept bookings, that would put a short block in a long period, search for such a date won't see your place. If you deny lingterm, you won't get those. The more configurations you accept, the more people see your listing.
So, this was my morning lecture, sorry for spelling, I have to pay my coffee and head to a shop for some plumbing material (open on Sunday). As after a while, you learn to live with the search results - I blocked one month for two months of work and it seems my gamble worked perfectly.
Evidently, all of this is speculation from a host 😉