I have been wanting to learn ASM for some time now, and I have been told that Learn TI-83 Plus Assembly In 28 Days is the best tutorial, however I have also been told to use a newer toolchain for assembling. Is it possible to complete the tutorial using the DCS SDK as opposed to TASM? If so, what are the differences and changes that I'll have to make?

I beleive that some members are working on making a public repository of an update of that tutorial. i cant find the forum where we discussed this, but im sure its around here somewhere.

the new version of the tutorial should use more recent versions of assemblers.

I am aware of this update, however I'd like to make headway with learning ASAP as I'm blessed with time I wouldn't normally have

Well, if I recall, only the beginning parts of the guide actually show you around the assembler. The actual teaching of ASM isn't really tied to a specific assembler, so you can get away with the Doors CS SDK. The difference I guess is that the SDK has a more modern assembler, has scripts set up to get you compiling your code quickly.

Me, I use the guide with the ASxxxx assembler and SDCC for inline asm, so I am sure that a different environment wouldn't hurt so long that you know how to assemble and run the code

The only differences are:
1) That you ignore the section on installing TASM and DevPac8x, instead installing the Doors CS SDK.
2) That you put your source files in /asm/source/ and run the compile.bat script as mentioned in the SDK readme when you want to assemble a program.

Other than that, you can pretty much follow the tutorial as-is.

Excellent. That is brilliant. I will be sure to get started soon.