Yes, John Carmack almost certainly the first to use the hardware scrolling capabilities of the EGA specifically, together with efficient tile and sprite drawing and erasing algorithms to create a slick, full-screen scrolling 16-colour console-like game engine on the IBM PC.
Though note that Mega Man (1990) for DOS came out very close (I believe 4 colour CGA), and other earlier DOS games like License to Kill (1989) and Spy Hunter (1984) had scrolling as well - this wasn't in all directions and probably a full-screen redraw. I've also found a Quora post attributed to the developer of the DOS port of Golden Axe that says that game predates Keen.
No, Carmack wasn't the first person ever to implement a system where tiles upon a moving background are redrawn row-by-row, or to devise algorithms efficiently erasing and drawing blocks of tiles or sprites based on their motion (or lack of).
As you stated in your question, drawing only incoming tiles would be a well-known technique for arcades or consoles where hardware scrolling was available, regardless of whether they used a bitmapped/bitplaned display or a tilemap. The Sega Master System and Intellivision (see Advanced Dungeons & Dragons) both have tilemap layers that are exactly the width of the displayed screen, so the programmer has to set a flag to mask away one column of tiles so it can be used as a hidden zone to draw the new column into as the screen moves around.
The ZX Spectrum has no hardware scrolling or sprites, only a 1-bit unscrollable display, chunked up in to 8x8 regions coloured by 'attribute' values. Less-experienced ZX Spectrum programmers writing arcade ports such as Space Invaders-clones would clear the entire screen and draw the sprites, but more-experienced programmers would erase and redraw any moving elements or even redraw only their edges, or use XOR to draw-undraw elements if the resulting visual garbage when sprites overlapped other sprites or the background was acceptable. (XOR was known - mentioned in this 1976/8 patent, ZX Spectrum BASIC's drawing primitives expose XOR drawing mode as the statement OVER n
.)
Keen's 'Adaptive tile refresh' is described as consisting of tile drawing and sprite handling algorithms very similar to the above. From what I can tell, the sprite handling is a form of dirty rectangles with a tile-based granularity: If a baddie stays in the same place and doesn't change to their next animation frame, leave him alone. If he moves, erase him by stamping the background tiles he obscured on top, then draw him fully again.
You say the PC had 'no specialized graphics controllers' but in fact it's the EGA card's PEL Panning register that made Keen's fine scrolling possible. The CGA has a configurable start address value which allows page flipping, vertical motion and coarse horizontal motion, but the EGA has an additional fine-panning register allowing motion within a memory byte/word - together these allow panning to any single pixel in the video RAM. The same registers are used in VGA Mode X (and a similar mechanism is used for scrolling on Amiga chipsets).
Carmack's innovation was to devise 286 real mode algorithms like these, and having the engine be stable across multiple competing first- and third-party EGA card implementations and monitors*. :) EGA programming is obtuse: bitplane selection, barrel shifting, etc. Descriptions of adaptive tile refresh also note that the drawing buffer is wider than the displayed region to allow for an off-screen region to scroll into (similar to the Sega example I mentioned), this means Carmack would have to also set the register containing the address increment per scanline (also known as the 'stride') to a non-standard value. To get a full engine in place would need lots of experimentation and iteration.
*On VOGONS, you can find threads of people studying patching all the Keen games still, as certain titles misbehave in certain ways on certain cards even within a trilogy where one might expect the games to be the same.
I'm guessing the OP was an Amiga owner (like me) familiar with Ballistix and Shadow of the Beast (1989, both before Keen). Both these games have full-colour 50Hz gameplay with scrolling and (apparent) sprites. From the perspective of the 'home micros' (ZX Spectrum, C64, Amiga, Atari ST, etc.) as opposed to the business-focused IBM PC, the confusion as to what the fuss is about is understandable. In the PC world in 1989, EGA scrolling was 'cutting edge' stuff, though Apogee's claim that Keen "Makes an IBM outshine an Amiga" with its chunky world, beepy sounds and gaudy colours is a little bit ambitious. :)