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In order to update the software that controls the DPF, my 2021 2.0TDCI Mondeo was recalled. I noticed that I had no cabin heat but the engine temp was normal the following day when I went to work after this was done on Monday. The engine management light then went out on the way back home.
I contacted the dealer who performed the software update, and they are adamant that the problems I'm facing are unconnected to the work that was done.
Is this something that other people have experienced?

And it's likely that they're right. You are jumping to conclusions without first getting the problem diagnosed; all you know is that the car was in for repairs.
Is the coolant level checked? Because low coolant is the likely cause of the symptoms you've described. According to the Mk4 Mondeo's cooling system, the absence of heat emanating from the vents is the initial indicator of insufficient coolant.

The level of coolant is satisfactory, and I will attach a diagnostic to it later on today. Since I haven't noticed any issues with the vehicle while driving, I'm wondering if the ECU has thrown a DPF fault. This evening I will know without a doubt.

Your reasoning for linking DPF with the cabin heater is unclear to me. The DPF is located on the exhaust, but the cabin heat is drawn from the cooling system.

During the 24E06 Recall, the technician doesn't just plug in a laptop; they are mandated to perform a physical inspection of the DPF and surrounding emissions components. To inspect or access these areas on Euro 6 engines, coolant lines feeding the EGR cooler or exhaust system are frequently disturbed, moved, or drained.

If you can, check the pipes leading to the heater matrix to make sure they are hot; otherwise, there may be an airlock in the coolant system. I would have thought Ford would hoover fill the system, so this is surprising.