Biblatex: Modify textcite for autocite=footnote

Question

Is it possible to redefine textcite when using autocite=footnote so that it places the the authors' names in the text but places the rest of the citation in a footnote?  As it stands now, textcite prints the authors' names along with the year in the text.  To me, the style I suggest seems like it would be more consistent.
For extra credit, would it be possible to omit the authors' names from the footnotes generated by this new version of textcite?
Here is a minimal example:
documentclass{article}
usepackage[style=authoryear, autocite=footnote]{biblatex}
addbibresource{biblatex-examples.bib}
begin{document}
A citationautocite{knuth:ct:a} in a sentence.
Important works are those by textcites{bertram}{markey}.
Another important work is by textcite{knuth:ct:b}.

textbf{Instead, I would like the output to be:}
A citationautocite{knuth:ct:a} in a sentence.
Important works are those by citeauthor{bertram} and citeauthor{markey}autocites{bertram}{markey}.
Another important work is by citeauthor{knuth:ct:b}autocite{knuth:ct:b}.
end{document}

moewe · Accepted Answer

The textcite implementation of the verbose styles does something like that, so we can just copy the textcite-related code from verbose.cbx.
documentclass{article}
usepackage[style=authoryear, autocite=footnote]{biblatex}

makeatletter
renewbibmacro*{textcite}{%
  ifnameundef{labelname}
    {printfield[citetitle]{labeltitle}}
    {printnames{labelname}}}

newbibmacro*{textcite:init}{%
  citetrackerfalse%
  pagetrackerfalse%
  iffirstcitekey
    {globalundefcbx@lasthash}
    {}}

newbibmacro*{textcite:count}{%
  stepcounter{textcitetotal}%
  ifnumgreater{value{uniquelist}}{value{maxnames}}
    {ifnumgreater{value{uniquelist}}{value{textcitemaxnames}}
       {setcounter{textcitemaxnames}{value{uniquelist}}}
       {}}
    {ifnumless{value{labelname}}{value{maxnames}}
       {ifnumgreater{value{labelname}}{value{textcitemaxnames}}
          {setcounter{textcitemaxnames}{value{labelname}}}
          {}}
       {ifnumgreater{value{maxnames}}{value{textcitemaxnames}}
          {setcounter{textcitemaxnames}{value{maxnames}}}
          {}}}}

DeclareCiteCommand{cbx@textcite}
  {usebibmacro{textcite:init}}
  {iffieldequals{namehash}{cbx@lasthash}
     {}
     {iffirstcitekey
        {}
        {textcitedelim}%
      stepcounter{textcitecount}%
      usebibmacro{textcite}%
      savefield{namehash}{cbx@lasthash}}}
  {}
  {}

DeclareCiteCommand{textcite}[cbx@textcite@initcbx@textcitefootcite]
  {usebibmacro{textcite:init}%
   gdefcbx@savedkeys{}%
   DeferNextCitekeyHook}
  {ifthenelse{iffirstcitekeyANDvalue{multicitetotal}>0}
     {protected@xapptocbx@footcite@args{%
        (thefield{multiprenote})(thefield{multipostnote})}}
     {}%
   xapptocbx@savedkeys{thefield{entrykey},}%
   iffieldequals{namehash}{cbx@lasthash}
     {}
     {usebibmacro{textcite:count}%
      savefield{namehash}{cbx@lasthash}}%
   ifnumequal{value{citecount}}{value{citetotal}}
     {protected@xapptocbx@textcite@args{{cbx@savedkeys}}%
      protected@xapptocbx@footcite@args{%
        [thefield{prenote}][thefield{postnote}]{cbx@savedkeys}}%
      iflastcitekey
        {protected@xapptocbx@textcite@args{thefield{postpunct}}%
         protected@xapptocbx@footcite@args{nopunct}}
        {}}
     {}}
  {}
  {}

% textcite has nested DeclareCiteCommand definitions for textcite and we want to use
% the normal textcite context
DeclareDelimcontextAlias{cbx@textcite}{textcite}

newrobustcmd{cbx@textcite@init}[3]{%
  setcounter{textcitetotal}{0}%
  setcounter{textcitecount}{0}%
  setcounter{textcitemaxnames}{0}%
  defcbx@textcite@args{#1}defcbx@footcite@args{#2}#3%
  cbx@textcite@argsemptycbx@footcite@argsempty}

DeclareMultiCiteCommand{cbx@textcites}{cbx@textcite}{}
DeclareMultiCiteCommand{textcites}
  [cbx@textcites@initcbx@textcitesfootcites]{textcite}{}

letcbx@textcites@initcbx@textcite@init
pretocmd{cbx@textcites@init}{%
  UseNextMultiCiteHook%
  AtNextMultiCite{%
    renewbibmacro{multiprenote}{}%
    renewbibmacro{multipostnote}{}}}{}{}

makeatother

addbibresource{biblatex-examples.bib}
begin{document}
nullvfill % only for this example!

A citationautocite{knuth:ct:a} in a sentence.
Important works are those by textcites{bertram}{markey}.
Another important work is by textcite{knuth:ct:b}.

textbf{Instead, I would like the output to be:}
A citationautocite{knuth:ct:a} in a sentence.
Important works are those by citeauthor{bertram} and citeauthor{markey}autocites{bertram}{markey}.
Another important work is by citeauthor{knuth:ct:b}autocite{knuth:ct:b}.
end{document}

Biblatex: Modify textcite for autocite=footnote

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