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My own experience has been relatively consistent with what that poster found. Infrastructure is the biggest cost-driver, while territory and districts also play a smaller role.
Something I've done in my recent playthroughs is building multiple cities in the New World using Settlers with Colony Plan (that builds cities with infrastructure from Tier 1-3), attaching 2-3 territories each, and merging them asap to get a cheap 6-12 territory megacity. You'll notice that because the cities are identical, merging is dirt cheap (like, 500 - 1500 influence per merge).
For older, established cities, the cost definitely comes down with infrastructure matching (I've seen cost drop from 45K influence to 29K, for example) but because of the districts already built, there will always be a substantial cost. The link I shared above has a really cool Google Sheets link with graphs that show how costs change with each additional district and Infra.
Yep, there's no easy way to compare the Infrastructure for two cities. I would love to see an expanded tooltip when hovering over the "Absorb City" button that breaks out the merge cost (similar to how Stability is broken down) and specifically lists out the top 5 missing infrastructure that are driving up the costs.