terminal-normal mode highlighting

Is it possible to preserve coloring from the shell (seen in TERMINAL mode) when in TERMINAL-NORMAL mode?
e.g.
1. In TERMINAL mode (with an interactive shell) issue 'ls --color' and notice the colorized output
2. <c-\><c-n> and notice the SHELL's coloring is lost

Also, is it possible to see vim's :hls highlighting from TERMINAL mode in TERMINAL-NORMAL mode?
e.g.
1. in TERMINAL-NORMAL mode do ':set hls ' then search for a string that gets highlighted
2. <c-n><c-\> and notice the search string is no longer highlighted

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