Latexdiff and biblatex citation commands

I’m having trouble getting latexdiff to work when using the biblatex citation commands parencite and textcite.

Take old.tex:

documentclass[a4paper]{article}
usepackage[utf8]{inputenc}
usepackage{filecontents}
begin{filecontents}{bibliography.bib}
@article{greenwade93,
    author  = "George D. Greenwade",
    title   = "The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})",
    year    = "1993",
    journal = "TUGBoat",
    volume  = "14",
    number  = "3",
    pages   = "342--351"
}
@book{goossens93,
    author    = "Michel Goossens and Frank Mittelbach and Alexander Samarin",
    title     = "The LaTeX Companion",
    year      = "1993",
    publisher = "Addison-Wesley",
    address   = "Reading, Massachusetts"
}
end{filecontents}
usepackage[style=apa,backend=biber]{biblatex}
addbibresource{bibliography.bib}
begin{document}

textcite{greenwade93} is the best article on LaTeX parencite{goossens93}.

printbibliography

end{document}

and new.tex:

documentclass[a4paper]{article}
usepackage[utf8]{inputenc}
usepackage{filecontents}
begin{filecontents}{bibliography.bib}
@article{greenwade93,
    author  = "George D. Greenwade",
    title   = "The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})",
    year    = "1993",
    journal = "TUGBoat",
    volume  = "14",
    number  = "3",
    pages   = "342--351"
}
@book{goossens93,
    author    = "Michel Goossens and Frank Mittelbach and Alexander Samarin",
    title     = "The LaTeX Companion",
    year      = "1993",
    publisher = "Addison-Wesley",
    address   = "Reading, Massachusetts"
}
end{filecontents}
usepackage[style=apa,backend=biber]{biblatex}
addbibresource{bibliography.bib}
begin{document}

textcite{goossens93} is the best book on LaTeX parencite{greenwade93}.

printbibliography

end{document}

Running latexdiff old.tex new.tex > diff.tex gives:

documentclass[a4paper]{article}
%DIF LATEXDIFF DIFFERENCE FILE
%DIF DEL old.tex   Sun Jul 26 18:28:46 2020
%DIF ADD new.tex   Sun Jul 26 18:28:55 2020
usepackage[utf8]{inputenc}
usepackage{filecontents}
begin{filecontents}{bibliography.bib}
@article{greenwade93,
    author  = "George D. Greenwade",
    title   = "The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})",
    year    = "1993",
    journal = "TUGBoat",
    volume  = "14",
    number  = "3",
    pages   = "342--351"
}
@book{goossens93,
    author    = "Michel Goossens and Frank Mittelbach and Alexander Samarin",
    title     = "The LaTeX Companion",
    year      = "1993",
    publisher = "Addison-Wesley",
    address   = "Reading, Massachusetts"
}
end{filecontents}
usepackage[style=apa,backend=biber]{biblatex}
addbibresource{bibliography.bib}
%DIF PREAMBLE EXTENSION ADDED BY LATEXDIFF
%DIF UNDERLINE PREAMBLE %DIF PREAMBLE
RequirePackage[normalem]{ulem} %DIF PREAMBLE
RequirePackage{color}definecolor{RED}{rgb}{1,0,0}definecolor{BLUE}{rgb}{0,0,1} %DIF PREAMBLE
providecommand{DIFadd}[1]{{protectcolor{blue}uwave{#1}}} %DIF PREAMBLE
providecommand{DIFdel}[1]{{protectcolor{red}sout{#1}}}                      %DIF PREAMBLE
%DIF SAFE PREAMBLE %DIF PREAMBLE
providecommand{DIFaddbegin}{} %DIF PREAMBLE
providecommand{DIFaddend}{} %DIF PREAMBLE
providecommand{DIFdelbegin}{} %DIF PREAMBLE
providecommand{DIFdelend}{} %DIF PREAMBLE
%DIF FLOATSAFE PREAMBLE %DIF PREAMBLE
providecommand{DIFaddFL}[1]{DIFadd{#1}} %DIF PREAMBLE
providecommand{DIFdelFL}[1]{DIFdel{#1}} %DIF PREAMBLE
providecommand{DIFaddbeginFL}{} %DIF PREAMBLE
providecommand{DIFaddendFL}{} %DIF PREAMBLE
providecommand{DIFdelbeginFL}{} %DIF PREAMBLE
providecommand{DIFdelendFL}{} %DIF PREAMBLE
%DIF END PREAMBLE EXTENSION ADDED BY LATEXDIFF

begin{document}

textcite{DIFdelbegin DIFdel{greenwade93}DIFdelend DIFaddbegin DIFadd{goossens93}DIFaddend } is the best DIFdelbegin DIFdel{article }DIFdelend DIFaddbegin DIFadd{book }DIFaddend on LaTeX DIFdelbegin %DIFDELCMD < parencite{goossens93}%%%
DIFdelend DIFaddbegin parencite{greenwade93}DIFaddend .

printbibliography

end{document}

which, when compiled with pdflatex yields:

The problem is that latexdiff puts the markup commands within the textcite command, which obvious doesn’t work. Adding natbib=true to the biblatex options and changing textcite to citet and parencite to citep gives the correct output:

The documentation (section 4) says:

The following packages trigger special behaviour:
…
apacite, biblatex
Redefine the commands recognised as citation commands.

Is this a bug in latexdiff or am I missing something?

I’d be happy to use the natbib commands instead, but I am using the code from this answer to to include the author name in the hyperlink.

EDIT: turns out that the code from moewe to include the author(s) in the citation links works perfectly fine when using the natbib command instead of the standard biblatex ones. I have no idea how that works, but it solves my immediate problem.