The small loop is an extremely lossy antenna, so it doesn't work at all unless it is tuned, and the tuning device is usually in the middle of the antenna.
A conventional "antenna tuner" is actually tuning the antenna system including the feed line. It reduces the SWR of the entire system and improves power transfer from the radio to the system, but it doesn't reduce loss in the feed line caused by the mismatch. This loss is typically much worse in coax than in balanced line.
Moving the antenna tuner closer to the antenna would shorten that lossy coax.
Putting the tuner at the feed point reduces it more. Putting the tuner inside the antenna changes the antenna design. However, in all of these cases, it is changing the antenna impedance.
However, changing the antenna impedance with a tuner doesn't necessarily make it resonant. In some cases, it just lowers the SWR, but the antenna may not radiate better. So if the antenna doesn't want to resonate at a particular frequency, the antenna tuner might give you good SWR but leave you with basically a dummy load and possibly a lot of heat generated inside the antenna tuner. This is not the general case, but it can happen with antennas with a very narrow bandwidth.
Alternately, some antennas need the antenna tuner for a different reason. The antenna may resonate just fine without the tuner, but its impedance might be 25 ohm or 75 ohm instead of 50 ohm, so the antenna tuner (or a good balun) can fix this. But transmitting without the tuner might work just fine if you can stand the loss in the feed line and the high SWR at the radio.