I don’t think so.
First and foremost ADS-B Exchange does not participate in the filtering performed by most other flight tracking websites which do not share data on military or certain private aircraft. Because ADS-B Exchange does not use any FAA data there are no FAA BARR/LADD, military, or other “filters” preventing you from seeing the the data you collected. ADS-B Exchange simply does not accept payment or requests to remove aircraft from public tracking!
Hm. There’s also ACARS, which should have position and someone probably collects that data too.