I had a similar issue with a DirecTV HR44 going through a Yamaha AVENTAGE RX-A2050 in my theater room recently. I tried multiple HDMI cables from the DirecTV receiver to the Yamaha, passive and active, 1m to 3m. DirecTV escalated to sending out Level 2 field techs and a supervisor, and we went through 3, or maybe it was 4, HR44 units, and couldn't get it to work via the receiver. Just like your situation, all the HR44s were fine when passing straight to the projector, which in my case is a JVC DLA-RS48.
We ended up putting the HR44 in another room, coincidentally through another AVENTAGE receiver of a slightly older vintage, and it works fine to this day. The older HR21PRO from that room was then swapped into my theater room, and it also works flawlessly. Seems like something between the HR44 and the RX-A2050.
Just this week, we installed a TiVo Mini in my same Theater room, and couldn't get video from it, either, when passing through the 2050, but again it was fine when sent directly to the projector. I replaced the RX-A2050 with a new Anthem AVM 60 last night, and didn't have time to try the TiVo Mini yet, because I got distracted watching a movie in Atmos from my Kaleidescape system.
I will try to work with it today and let you know what I find.