Simple summing .. with just a L assign switch, and a R assign switch .... for each input works quite well with makeup gain provided by a pair of standard 312 style mic pres .
The '312 mic pres' provide classic 'non inverting' gain block to a passive summed input - including a transformer balanced version. Nothing fancy, just 'voltage summing' with gain makeup.
You could also take that summed input - including a transformer balanced version, to an 'inverting' gain block - the classic, again API, 'ACN' for active combining network.
Sometimes called 'current summing' or 'virtual earth summing' - it's somewhat different to 'voltage summing with gain makeup'.
For low-ish channel counts with very spartan 'facilities' per channel, 'voltage summing with gain makeup' can be awesomely satisfying in sound quality - the 'simple is best' approach.
For anything more than low channel count with only assignment switches, the ACN method is the way to go. Facilities like gain, variable panning, variable fading, solo etc .... ACN is pretty much the only way.
Fortunately, ACN *with* a lotsa 'facilities' can be insanely high quality ... modern mixer manufacturers do this every day for very little investment, these days
Personally, I like a combo of 'simple' stuff and modern stuff.
DIY builds lend themselves well to passive, old style 'voltage summing' ... less is best approach.
ANything that needs 'facilities', modern small mixers work very well indeed.
I like the 'cluster' approach - a bunch of modern sources making modern stems into some classic mixing, feeding the mastering chain.
Works really well in the 'live room studio' context.