Nice sections. This is a good mystery (to me anyway). The exciple does look byssoid, but the pigmentation in the cross section doesn't seem to match what is typical for the genus. There are some nice example illustrations here: Wang W-C, van den Boom P, Sangvichien E, Wei J-C. A molecular study of the lichen genus Byssoloma Trevisan (Pilocarpaceae) with descriptions of three new species from China. The Lichenologist. 2020;52(5):387-396. doi:10.1017/S0024282920000390
In particular, I'm not seeing a brown hypothecium in your photos. It would be great to find spores or sequence this.