These look plenty decent for "desk-fi".
Sidebar 3: Measurements My estimate of the Dynaudio's sensitivity was 84dB(B)/2.83V/m, a little lower than the specified figure. This puzzled me, as my estimate of the original Contour 1.3's sensitivity was 3dB higher, and the drive-units are identical. The Mk.II's impedance is shown in fig.1...
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If you say ON your desk, do you mean that literally? Then desk stands would be the first order of business. (Or regular stands if there is space behind.) If the wall behind the speakers is not yet adorned with wedge foam of the deeper kind, that would be the next step. Oh, and it looks like flattest highs response is somewhere around 15° off-axis, so turn them accordingly.
If everything is working satisfactorily (and the amp's power draw is not a concern), I would not upgrade a thing about the speakers for now. Instead, I would recommend a system-wide EQ (e.g. Equalizer APO + PEACE) plus a measurement microphone to assess the room mode situation (and if it's only a trusty UMIK-1). Looks like it wouldn't take much EQ to flatten out the anechoic response down to at least 50 Hz, perhaps even 40 still. Given the modest level needs at your distance, the woofer shouldn't be overly stressed doing so.
Note that you don't necessarily want
flat flat in the bass... REW is offering the "room curve" option in EQ for a reason. Try following the general trend provided by the room if things end up a bit too lean down there.
It be said that at 50-60 cm there's probably better options than a classic 5" + 1". All the passive Dynaudios you mention would be way too little improvement for way too much money for my tastes. And the LYD 5 is a fairly good monitor but their insistence on not using waveguides along with high crossover frequencies is really not doing Dynaudio any favors.
Should you happen to have more money than you know what do with, I would "go big" and start looking at a pair of Genelec 8331As with a matching audio interface. Though that kind of money would almost be buying you a pair of Neumann KH310As. (Not a bad choice for nearfield either, would handle much higher levels, though at 24 W idle each I would be much more tempted to turn them off after use than the Genelecs with 4 W a piece.)