I only have somewhat limited experience, dealing almost solely with Acronis True Image over the past several years, but...…
I have Acronis rescue media on DVD and USB thumb drive and have used it on a vast number of computers over the years without any issues. It pretty much uses generic drivers for keyboard mouse and monitor which have always been sufficient to get the task done.
I cannot remember a single instance where I ran into any problems booting a machine with that media, creating an image or booting the machine and recovering a previously created image.
Acronis makes new versions annually, usually designated by a Year (2014, 2015, 2017, 2018, etc.) and additionally within each version they will generally have build updates.
I have five computers with five different versions and builds. I routinely use the newest version to generate my rescue media and have yet to run into any backward compatibility issues when recovering images that might have been created using earlier versions.
I can remember years ago, there were instances where Acronis 6 or Acronis 7 or perhaps before those versions where you could run into problems using one version to attempt a restore of an image created with a different version.
That doesn't seem to be the case any longer.