As usual, I'm not sure exactly what your question is. The linked info explains common Lathe nose types.
Regarding D1-4 vs other D1 sizes, the primary issue is the size (capacity) of the lathe. The different D1 size nose types are incorporated in lathes with spindles of compatible sizes.
I think reading the linked info (and further research of published text) will help focus your search.
I have a D1-4 spindle decent hobbyist (Taiwan) lathe. I think the D1 types are quick and easy enough to change chucks but I'm not in love with the type. Like many things in life, the D1 types are a compromise, IMO. The crux of the issue is that the design is fundamentally OVER CONSTRAINED. It is commonly stated that D1 chuck should be mounted in intimate contact with both the taper and the flange face simultaneously. That common opinion, although ideal, is a practical quagmire. It's not my desire to get into a big discussion of it here. If someone disagrees, so be it. You do you, I'll do me.
I have significant experience with an "American Standard Type L - Long Taper" lathe spindle. I like the type. However, I think the spindle/bearing/support SYSTEM must be designed accordingly and I would not recommend an adaptor be attached to a spindle without a comprehensive engineering analysis (HaHa). The short explanation of my concern is that the length of the Type L system puts the chuck/workpiece/cutting forces further away from the front spindle bearings than other nose types. Compared to other systems, Type L requires a beefier system to handle the higher loads resulting from the greater leverage.
Not knowing what lathe you're starting with (not stated in the OP), I feel like I'm talking to myself.
https://www.tools-n-gizmos.com/specs/Lathe_Spindle_Mount.html#:~:text=Type%20A1%3A%20tapped%20holes%20on,holes%20on%20inner%2Dbolt%20circle.