Something about tuners mystifies people. Someone I know, who should know better as a trained electronics and radio tech, said a tuner simply fools the radio into thinking it sees 50 ohms.
This is not the case.
A tuner, or transmatch, is often a two port device that transforms the z seen by at least one of the ports. Also, the power that would be reflected by a high swr as seen by the transmitter end is re reflected back to the load until it leaves the load because the transmatch becomes the proper termination seen by each port - the low z side sees low z, the high z sees high z and the transmatch handles the transfer of energy between the two. And it's a two way affair, optimising power transfer between the ports regardless of source.
Something else to keep in mind is only resistive losses can consume power, caps and inductors - as found inside most transmatches - can't. Sure you can mistune a transmatch and make the antenna system perform poorly, but that doesn't change the fact that with a properly tuned transmatch, little if any power is wasted from one side of a port to the other.
Most hf rigs have a simple T net as a tuner topology, low parts count and high range of swr, more or less becomes a high pass filter when tuned. A pie transmatch would be a bandpass filter as I recall. The newer auto tuners use banks of caps and inductors selected by relays, and the brains will select from them all in a variety of ways to get the most efficient match - these are often L circuits and will swap between cap and inductor depending upon the frequency range. Regardless, you want the least inductance cranked in, most output cap as possible, and whatever input cap is needed for the lowest swr, if you run a manual T tuner.
Sadly, the inductance ranges are typically hard coded into any given hf rig so if there's not enough or too much for a given band, the rig gives up on autotuning. It'd be nice to see the makers roll out bandpass transmatches that have much greater ranges in new hf rigs.
If you've not seen this vid on swr, it's kinda cool;
https://www.youtube.com/watch?v=DovunOxlY1k