Bold slanted \lambda symbol not bold enough in Stix font family

Consider the following screenshot. In the upper half, the math-mode greek letters are shown first in normal, i.e., slanted and non-bold, form, followed by bold, upright, and bold-upright, for the XITS Math math font. The normal and bold slanted variants of \lambda do look very similar.

In the lower half, the same set of four math-greek letters is shown, but now for the Stix Two Math math font. You'll notice right away that the regular and bold slanted-lambda glyphs look quite different.

enter image description here

\documentclass{article}
\usepackage{unicode-math}
\newcommand\blurb{\alpha\beta\gamma\delta\epsilon\zeta\eta%
                  \theta\iota\kappa\lambda\mu\nu\xi\pi\rho%
                  \sigma\tau\upsilon\phi\chi\psi\omega}
\begin{document}
\obeylines
\setmainfont{XITS}
\setmathfont{XITS Math}
XITS Math glyphs
$\blurb$
$\symbf{\blurb}$
$\symup{\blurb}$
$\symbfup{\blurb}$

\bigskip
\setmainfont{Stix Two Text}
\setmathfont{Stix Two Math}
Stix Two Math glyphs
$\blurb$
$\symbf{\blurb}$
$\symup{\blurb}$
$\symbfup{\blurb}$
\end{document}

There is no need to load bm with stix; the fonts come with bold letters that works with the standard \mathversion{bold} and \boldsymbol from amsmath.

With PDFLaTeX, you can load a bold sans-serif math alphabet with isomath. There are several options, including Computer Modern Bold and Arev.

\documentclass{article}
\usepackage{iftex}

\ifTUTeX
  \usepackage{unicode-math}
  \setmainfont{XITS}[Scale=1.0]
  \setmathfont{XITS Math}[Scale=MatchLowercase] % Also loads STIX Math Bold.
\else
  \usepackage{amsmath}
  \usepackage{stix}
  % sfdefault=zavm is Arev. sfdefault=cmbr is Computer Modern Bright.
  \usepackage[sfdefault=cmbr]{isomath} % For \mathsfbfit

  \newcommand{\mbfitsansalpha}{\mathsfbfit{\alpha}}
  \newcommand{\mbfitsanslambda}{\mathsfbfit{\lambda}}
\fi

\pagestyle{empty} % For convenient cropping of the MWE.

\begin{document}
\begin{align*}
  \alpha              &= \lambda \\
  \boldsymbol{\alpha} &= \boldsymbol{\lambda} \\
  \mbfitsansalpha     &= \mbfitsanslambda
 \end{align*} 
\end{document}

Compiled with PDFLaTeX, this gives:

Legacy font Output

With unicode-math, this is even simpler: the package supports both \symbfit and \symbfsfit alphabets out of the box. The XITS Math font by Khaled Hosny additionally comes in a bold version.

The same MWE compiled with LuaLaTeX or XeLaTeX produces:

XITS Math Sample

The range= option of unicode-math allows you to substitute the sans-serif math alphabet from any other math or Greek font. Here is an example of how to substitute the Greek sans-serif italic alphabet from STIX Two Math.

Unfortunately, as of 2020, range= is not compatible with math versions, so you would have problems with \boldsymbol. I therefore switch to \symbfit.

\documentclass{article}

\usepackage{unicode-math}
\defaultfontfeatures{Scale=MatchLowercase}
\setmainfont{XITS}[Scale=1.0]
\setmathfont{XITS Math}
\setmathfont{STIX Two Math}[range=bfsfit/{Greek,greek}]

\pagestyle{empty} % For convenient cropping of the MWE.

\begin{document}
\begin{align*}
  \alpha              &= \lambda \\
  \symbfit{\alpha}    &= \symbfit{\lambda} \\
  \symbfsfit{\alpha}  &= \symbfsfit{\lambda}
 \end{align*} 
\end{document}

XITS/STIX Two sample

You're more likely to want to substitute a different bold italic lambda () symbol here, though, with range=\mbfitlambda. This example adds a bit of FakeBold to this one symbol:

\documentclass{article}

\usepackage{unicode-math}
\defaultfontfeatures{Scale=MatchLowercase}
\setmainfont{XITS}[Scale=1.0]
\setmathfont{XITS Math}
\setmathfont{XITS Math}[range=\mbfitlambda, FakeBold=1.1]

\pagestyle{empty} % For convenient cropping of the MWE.

\begin{document}
\begin{align*}
  \alpha              &= \lambda \\
  \symbfit{\alpha}    &= \symbfit{\lambda} \\
  \symbfsfit{\alpha}  &= \symbfsfit{\lambda}
 \end{align*} 
\end{document}

XITS FakeBold sample

If you genuinely care about portability between isomath and unicode-math, \mathbfit works in both packages if you give unicode-math the option bfit=sym, but the equivalent of \symbfsfit in unicode-math is \mathsfbfit in isomath.