My first question would be clearance: is there enough space under the benchtop router table to accomodate both the lift and the router?
Second question is sturdiness: the lift sits in a large hole in the tabletop. Hole is the same size as the lift's faceplate. If the tabletop isn't very big, that hole can compromise the table's integrity. Maybe it won't cause the table to break, but it's a deal-breaker if the tabletop flexes.
Third question is compatability: If the benchtop table isn't designed to hold your lift, you'll need to cut and route out a hole that will fit it. Which implies the benchtop table is some material that you're comfortable working.
My solution was to buy a full-size router table top - just the top - and a lift that goes with the top and my router. When I need them, I mount the table/lift/router on a pair of sawhorses. There's a certain amount of hassle in setup/breakdown, but it all stores out of the way when I'm doing something else in my small shop.