Reasoning behind including revenue range in search criteria?

Any accounting measure of profitability is challenging. Even if owners understand them, most small businesses have a lot of owner expenses buried in the business. Adding back these items can change things substantially. "After-tax profit" ranges might disqualify someone whose seaplane fuel is an "expense"

Unless you're looking at businesses in some subset of the finance industry, it's quite possible you'll talk to sellers who have no idea what EBITDA means. I had multiple phone calls with owners of multi-million dollar businesses who were confused about the difference in terms like revenue, cashflow, profit, etc., much less EBITDA. In order to avoid appearing ignorant, they probably aren't going to ask you for clarification and will just assume they know what you're talking about, even if they don't. Looking back, we obviously had some false positives with people who thought they were big enough when in actuality they weren't. But it's hard to know how many false negatives there were that we missed out on.

Aim for simplicity in your messaging in outbound emails and on your public facing website/materials. You don't want people who would otherwise be good targets self-selecting out because they erroneously think they don't meet your criteria (it happens), so they just ignore your email. It's incumbent on you to communicate in way that is disarming, informative, and non-judgmental.