That article is very vague and is written by someone selling something, which always makes me leary. I went digging through the list of references and reviewing the the studies and the ones specifically on horses used not plain colostrum but a colostrum with additives.
" A previous study [26] showed no effect of BC <bovine colostrum> on RD <respiratory disease> in horses in race training, but the authors felt that this was likely a result of the low incidence of RD in this cohort of horses. The authors hypothesized that investigating an age group that experienced a higher rate of RD would produce more meaningful results, which led to the present study in younger individuals more susceptible to RD. In addition, the previous study included only BC and not the other ingredients in the BCS used here (MOSs; vitamins A, C, and E; zinc; and folic acid), which likely contributed to the immune effect…"
Fenger, C.K., Tobin, T., Casey, P.J., Roualdes, E.A., Langemeier, J.L., Cowles, R., and Haines, D.M., 2016. Enhanced bovine colostrum supplementation shortens the duration of respiratory disease in Thoroughbred yearlings. Journal of Equine Veterinary Science, 42, 77-81.