Even with that crude approach the noise peak is now at 270kHz and has comparable energy like typical content around 20kHz... low enough to not cause any problems downstream. The analog filter implementation is really tricky, though, with those horribly fast signal edges directly from the digital logic gate... that's why actual solutions can be much different and may show different final analog spectra.
And you can of course adjust the modulator noise slope so the it doesn't have that kind of sharp knee.
So it always makes sense to check the DSP + hardware combination in action. That's why I check with different bandwidths using different analyzers.
Same of course applies even if one uses stock DAC chip (without external DSP) with one's own analog stage.