It also rejected the notion of basing remuneration on performance or time served in the Commons, and suggested matching people's pre-parliamentary salaries would "disadvantage some candidates" who had been unemployed or low-paid.
The document highlighted the idea of having two salary levels - one for the dozens of MPs who hold second jobs, and another for those who give up extra work.
But despite reports that Ipsa's management favours the plan, the consultation merely stated: "We invite views on this issue."
There have been calls from some MPs for their pay to be hiked in line with senior roles such as GPs, headteachers or police chiefs. That could have seen their salaries rocket into six figures.
However, Ipsa said a "mechanistic" link to other jobs "faced many obstacles, including political pressures to avoid increases".