Thank you both, very useful information!
Unfortunately, some recent unfriendly financial events are severely limiting my budget for the time being (and for the foreseeable future). So the upgrade path suggested by @sns is not possible in my case. Luckily, I'm quite content with the sound of my system as it is. On the other hand, I'm very much aware that "everything matters" from the sound quality point of view, to a degree that many would deem ridiculous if I were to share some of my experiences, so I wouldn't cheap out on the computer / streamer side of the equation if it were by me.
I must admit though that the Lumin experience kinda killed my interest in a moderately expensive (2000-3000 euro) streamer anyway. I don't understand why the Lumin didn't destroy my PC in terms of sound quality. Also, a friend of mine has bought a Sotm streamer with the dedicated Sotm power supply and, well, it is nice but not groundbreaking if you're asking me (never heard it in my system).
I have tried the free version of Fidelizer today. I recognize it as a clear improvement, objectively speaking, but the tonal change (stronger upper bass) was not very welcome in my system. It's just not a good synergy to my current system (and taste, after all). By contrast, I didn't like Audirvana.
Btw, I have found that synergy trumps "objective" quality most of the time, and to a degree I wouldn't have though possible.