I run a 170ci conversion w/ 302 & c4 floor shifted. From the research I've done the main automatic shifter differnces are cable operated v. mechanical, but to your question. Ratchet style is used in drag racing allows you to manually keep it in 1-3 or in auto and to manually shift when you want, I run a Hurst ratchet and its cable operated about $150. Its been working great but a bit bulky. The detent reminds me of a mechanical shifter similar to your t-case or auto column shifter (I'll be ugrading to a Lokar floor mounted $250 eventually, for the looks mainly and I like a mechanical linkage). These Lokar units are big in the hot rod community for their looks and function and a few EBs run them. A gate style shifter is what the ArtCarr/Winters shifters are($350ish), and also a cable. Very common in off road racing, many people will mount a Art Carr to a C4 or C6. I feel that these are not suitable for daily driver since your manually shifting an auto trans. They look cool but made for high performance applications. Hope this helps, lets see what the gurus say
Jed