Granted, the Decoy, Infrared, Mobile aka M1 Abrahams is not the best choice for scouting. The Can, Tin, Armed aka M3 Bradley Scout Vehicle is a better (and IIRC common) choice. Those are scout TRANSPORTS first, getting close and than have the scout team dismount and cover the last kilometer or two with the tank staying under cover but able to support/defend the dismounts
Reece tanks, at least in german parlance, include wheeled armored vehicles like the SpähPanzer Luchs (or the WWII SdKfz 231/234) The Luchs is big, heavy and VERY quiet. That think can sneak up on you in most environments. Typical german formations mixed Luchs and Leopard tanks in IIRC companies. The Luchs squadron(s) would be the forward element and the Leopards where hanging back and either cover withdrawl or, if useful, go forward and do recon-in-force.
Also remember that warzones are rarely quiet. There is always background noise, vehicles moving etc. As long as the vehicle is using available cover it is difficult to pinpoint and identify. You may hear a tank somewhere but is it yours, theirs or the Vaticans? Armored reece is a "European Theater" concept and in Europe sightlines are short (< 2km most of the time) and there is a lot of cover from small lumps of trees to ridges to the next town. The terrain sometimes even makes it difficult to pinpoint a sound-source due to reflections etc.
As for hiding - that is surprisingly simple if one is well trained. Even more so back in the Cold War when electronics where less advanced and less common (Light Amplification Night Vision Googles where specialist gear, Thermo-Imagers vehicle mounted - and quite a few tanks still used Light Amplification instead) and batteries not as advanced (We made some great advances there in the late 1990s/early 2000)
The trick is to "blend in" with the terrain. The human eye can be fooled if the distance is long enough (some 100 meters) and the shape is brocken in a way that is seen as "artificial" or "human". That is the reason for Ghillie Suits, Helmet cammo (and cammo painted faces) etc. as well as for cammo paint on tanks (Google a bit about MASSTER/MERDC for discussions on this or Ambush/Hinterhalt Tarnung) Modern Thermal Imagers (and LI to a lesser degree) expose vehicles since the heat pattern stands out as "artificial"