For domestic use - yes - recording the streams yourself outside of the Freeview/Freesat licensed ecosystem is the easiest solution.
However in a broadcast environment, it's much easier to arrange to disable HDCP en route to an HDMI to HD-SDI conversion... (Which also allows easy recording of encrypted Sky and Virgin Media content)
Do the boxes have component video out? That would be easy enough unless it's disabled for a business enviromennt. (DirecTV here in the US disabled it for businesses because they'd bars would use one box and amplifier to save money for each TV.)
Component is far less widespread here than in the US.
In the days of SD we had RGB SCART - which arrived in the 80s (possibly even late 70s in France) here (many of us used it connect home computers to our TVs) so had no need to introduce component for DVD (as RGB delivered the same high quality result, avoiding the artefacts of composite and chroma bandwith issues of S-video) or SD set top boxes. (RGB SCART also had useful stuff like status switching, pin 8 widescreen signalling etc.)
By the time we went HD, HDMI was a standard, and all 'HD Ready' TVs had to include HDMI. Given the copy protection advantages of HDMI - only early first gen STBs had component HD outputs usually (First gen Thomson Sky HD boxes output 1080i and 720p component). However second gen boxes removed it.