Yes, the ATEM Constellation series does have format conversion - on every input, no licensing etc needed. You might not like the look of the deinterlacing, depending on content, but you will at least have picture. On the tech specs, this is listed as "standards converted 12G-SDI inputs":
https://www.blackmagicdesign.com/produc ... s/W-APS-40As for actual use as a presentation switcher, you might often interface with projectors, LED walls etc that don't necessarily want to receive 1920x1080. If so there are more suited options out there, but none in the same price class that I'm aware of.