Now that your mentioning it ...Yeah ...
As a DIRECTV sub. for over 20 years been through several install iterations myself during all this time. And your "big multiswitch" description with 4 lines feeding it sounds like the Zinwell WB616. A large 6 x 16 powered legacy switch.
Actually thought that was a great multiswitch in its day, which for some reason DIRECTV was very strict with the distribution of and was like pulling teeth getting my HSP back at the time to finally give me one.
And then I didn't really even get to keep it that long as WH service came out soon after and jumped on that asap when it first became available in my area. So had to replace it with a SWiM-16.
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I have a large switch on the house as well (still) ... don't even know if its hooked up or not, its been so long since I've made any major changes.
If I think about it, I may look into it tomorrow.