Can Lua access the traceback/surrounding tokens on error?

Question

Let's say if I have...

\documentclass{article}
\errorcontextlines=10000
\def\c{1 \errorerror 2}
\def\b{3 \c 4}
\def\a{5 \b 6}
7 \a 8

I can

• see the traceback on the console...

  ! Undefined control sequence.
  \c ->1 \errorerror
                     2
  <argument> 3 \c
       4
  \b #1->7 #1
              8
  \a ->5 \b {3 \c 4}
                     6
  l.13 7 \a
          8
  

• run some code when there's error (show_error_hook callback)...

• access the string content of the error message status.lasterrorcontext, status.lasterrormessage

• get the following tokens with repeated calls to token.get_next()

However can I do the following:

• get the csname of the undefined token (programmatically)? Parsing the error message is not reliable.
• get the surrounding content (e.g. "before is 5 3 1")?
• get the actual macros in the traceback (a, b, c in this case) and where in the definition they're currently at?

For context, sometimes the error message doesn't display nicely on the terminal (which is limited to text output so e.g. cannot distinguish active space from normal space / a small number of columns ), so I want to get the tokens and format it to something nicer.