Thanks to ATpoint response, I went ahead and read the reference for a sample exome capture kit. It was mentioned there and I quote:
SureSelect human all exon V7 (exome V7) is a new exome kit that maximizes coverage for a given sequencing depth. Designed using GRCh38/hg38 genome assembly, the Exome V7 targets the protein coding regions documented in the latest versions of RefSeq, GENCODE, CCDS, and UCSC known genes, including hard-to-capture exons that are omitted from other commercial exome kits. Furthermore, Exome V7 targets all pathogenic variants in the genes included in the ACMG guidelines for secondary findings. A novel primer design algorithm results in an efficient design with a total size of only 48.2 Mbs.
So I guess this type of information should be available in the reference of each capture kit people use for their experiment, in case someone in the future is looking for the sequence assembly used for their capture kit.