Good points, Betty. I hadn’t thought of the difference in volume—only that it is to a hotel’s benefit to answer the phone promptly so the caller doesn’t hang up and book with another chain.
There's also a lot more ways to book a hotel - I would guess that, at least for chain hotels, a smaller percentage of people call the hotel directly to make a reservation than call Amtrak to book a reservation. The hotel's website often covers a lot more edge cases than Amtrak's website does, there's a lot of people who book hotels via a third party like Expedia or Priceline and thus would call them instead of the hotel directly, and a lot of chains also have a central reservation line for bookings so individual front desks aren't getting those calls. All of that generally means that if you do need to call a hotel front desk, the response can be fairly quick since there isn't nearly as much volume.
The only way I could see this working for Amtrak would be to have station agents also work phones, but there's likely only a few stations where that'd even be remotely practical - a booking call can take a while, and a customer could show up anytime in-person and want immediate help. Also, with as few stations as there are with agents they're likely busy enough throughout most of the day that there's not much "down time" to try and handle calls.
Amtrak has created a mess without an easy way to get out of - there's very few experienced staff that aren't doing other things, hiring/training people takes weeks to months (especially given the current labor shortage,) and any IT changes to offload some of that work requires an IT team with time to make those changes, and assumes that the system can accept those changes at all in a way that can be made user-friendly. The only real individual solution would be, if you can, go to a station for ticketing if the line is shorter there. If the website acts up, I'll sometimes do that myself since I live close to MSP. I'll go during an off hour and there's usually little to no line, and I can verify right then and there that everything is how it should be.