while I would imagine the answer is a probable yes, dare I ask, why not get a second 4K tv and have the best/same resolution going to both simultaneously?
yes, I understand money may be tight, but, i'm speaking from a technical point of view. because, when your enjoying a beautiful 4K/DV picture streamed to your 4k set and someone turns on the 1080p tv and your 4k now gets 1080p (after blinking a couple of times to conform) you won't be happy about it not one bit.
best of luck, keep us posted and stay safe!
TCL-65R615, 55P605 DV/HDR10 & 49S405 HDR10, Philips BDP7501, BPD7502 UHD Players
Oppo BDP-105D, 105, 93, Marantz AV7702MKII, NR1607. Xbox One S
Emotiva XSP-1, XPA5,UPA2, UPA200 & Mini X Amps, ATV4K 32gb
Speakers, Polk SDA-2, Monitor 10A & 5A, Axiom M80,
VP180, QS8, M2, QS4, ATMOS 7.1.4 & 5.1.2 NYGiants!