My devils advocate question is therefore what is the point for praxis of simulating the bass frequency response of a dipole speaker without taking the room into account?
It is simply not possible to create a simulation or measurement for every listening room in the world.
Therefore, it is standard that loudspeakers are measured under free field conditions and so that simulations can be compared with real measurements, these are also simulated under free field conditions - why should dipole speaker be the exception? (it's rhetorical don't answer

)
The CTA-2034-A standard explicitly states under 5.1: "Measurements should be made in a reflection-free environment".
Further it says "Amplitude response measurements shall be made at 10° intervals on one horizontal and one vertical orbit around the DUT." Which is also fulfilled by the simulations. The virtual mic measures the simulation in 2m distance as stated in CTA-20234-A. The only thing I don't do is to convert the sound pressure level back to 1m.
It would certainly be interesting to simulate how different speaker concepts excite a sample room if the speaker position in the room is always identical, but that's not the goal of the thread.
If you buy/ built a design which looks good in free space it might not be the design which will measure well in your room.
If free field measurements or simulations in the bass-midrange show you errors in the radiation and directivity, then the probability that this speaker will cause problems in your listening room (and measure less well) is much higher than a speaker without design flaws.
I trust the sims in free space, but - in small rooms is 130-230Hz really a region where radiation pattern is relevant?
Since in this frequency range in most listening rooms mainly the standing waves of the room modes dominate, tiny details in the radiation pattern are certainly not decisive.
But here we are talking about dipole radiation, which in the best case less excites the laterally room modes (and to a certain degree vertical) - in theory. If one would agree with your statement, then a dipole concept below the Schroeder frequency would not make sense.
What the simulations show is that with poorly designed U- and V-frame concepts, the dipole radiation is broken up in the region of the fundamental resonance (and the harmonics in some cases) of the open cabinet, and becomes omnidirectional for a certain frequency range - i.e., excites the lateral room modes more strongly.
Here again the simulation of example 1 from the OP, which is based on a real loudspeaker (woofer XO is likely 800-1200 Hz). The frequency responses normalized to the on-axis FR show that the lateral 90° radiation is even increased by up to 3dB in the range 170-300Hz compared to the on-axis FR.

In
post#20 it was shown for another example how much the effects also show up in the CTA-2034 graph.
For U- or V-frame OB speakers, if the crossover frequency is not below the cabinet fundamental resonance, there are massive, likely audible problems - whether they bother the individual listener or whether this is simply "seen" as another "room resonance" is likely to vary.
With indirect excitation by a driver, for example, sitting above an angled U-frame, as shown in
post#32, the effect is of course not so severe - but far from insignificant compared to the classic OB concept:

We can additionally have a look at the comparison of classic OB speaker vs angled U-frame OB speaker (see
post#32) as CTA-2034 graph (ignore all stuff >2kHz, simulation limit):

How serious and how important the affected frequency range is, everyone must decide for themselves.
The title of this thread should be "Open baffle speaker trade-offs."
If the resulting fundamental resonance is ignored in U- and V-frame speaker designs, it's a serious design flaw, hence the word "pitfall" (that may not be correct wording - English is not my native language). "trade-off" does not do justice to the severity of the error - IMO.