There are different Chinese fonts (in print/computer context) and also different Chinese historical scripts, each with different styles of writing, and finally a very diverse variety of calligraphy styles.

The idea of what is considered "old", "fancy" and "fancy old" doesn't necessarily map the same way as it does in Latin/Western writing in general, the cultural and historical sensibility and connotations are often quite different, although in most broad sense, you could find some style analogues to achieve a similar vibe, but it would be quite context dependent.

Sure, but tattoos in sans serif fonts are still super common, and honestly, it makes little difference, the one in OP is still basic as fuck - call it Times New Roman instead of Arial. It reads like plain text to a Chinese reader, not some kind of calligraphy - what you call "stylized" is actually just the default original textbook stroke style of the standard script. The sans serif version with monowidth lines is actually more of a modern stylized form of that.

To me it looks done by hand, the inconsistencies in character sizes and stroke widths wouldn't be seen in an actual font. The 独 also looks very hand drawn, the vertical strokes on 無 as well. It's very "textbook" calligraphy, done by someone who knows the strokes and has some practice, but dull and with no personality, and still a degree of insecurity and inconsistency in the strokes, so perhaps a late beginner to intermediate level student of calligraphy. Not necessarily by the tattoo artist either, it could have been tattooed from a template written on paper.