I want to ask the AI to search for flights to my next trip, with x y z restrictions. It shows me the flights and gives me options A B and C. I tap B and it goes and books it for me. That's no different than a traditional experience like Kayak except that instead of pressing "book now" and manually filling in the details (or rather: these days letting safari autofill) I press the "LGTM" button and software fills in the rest.
ETA: the shopping experience is the same. I don't want my muse (or whichever) agent to "autonomously" "decide" to purchase an item for me that I've mentioned off hand at some point in time. The use case is treating muse as an addition/alternative to the traditional search experience.
"hey muse I want to buy a new tv, what are the popular/good models from 2025+ with reviews from reputable websites? Shortlist me ~3 within x-y budget also ensure that the local Best Buy or Costco has it in stock so I can pick it up. Actually also let me know if the box will fit in my Toyota or if I need to rent a van. Also for each positive review find me a negative review to balance it out."
And then after I do my own reading on what it surfaced me, I just say "ok muse place an order for the top option, schedule a pickup time for Saturday"
There's not a ton of money in skimming commissions off of flights (probably < 1%), but there is if you can attach a hotel booking to it (upwards of 10%), so if you can become the preferred vendor for a business traveler, there's money to be made.
Unless you have money to throw away I can’t imagine not checking the details and comparing prices. Hell, even if you do have money to throw away you still want to double check everything just before the last purchase decision. Is it going to the right city? Is it at a reasonable hour? Is baggage included or purchased? Etc
The most useful feature for me is google's price/date grid. For personal travel, I'm flexible with dates, so I always use that to just find when flights are cheap. For work, I try to find the best price, but I'm not super picky since the company is paying for it.
I feel like the travel site UIs do a good job of summarizing all the info and putting it in front of you.
Do you want the agent to book it for you? Or just find it?
Google flights is great and I use it every time I want to fly, but it's very rare that you can purchase the actual flight on google flights too.