In the literature, regarding certain enzyme pairs I occasionally come accross sentences like this: "Although LDHA has a net charge of −6, and a higher affinity for pyruvate (it preferentially converts pyruvate to lactate and NADH to NAD+), whereas LDHB has a net charge of +1, and a higher affinity for lactate (preferentially converts lactate to pyruvate and NAD+ to NADH)" (Int J Mol Sci. 2019 May; 20(9): 2085). A similar one regarding OGT/OGA can be found in Amino Acids. 2014 Oct; 46(10): 2305–2316.

I feel like I am missing some unspoken context here, because taken at face value, these statements are a blatant violation of thermodynamics and a fundamental misunderstanding of the fact that enzymes, like all catalysts, catalyze the forward and reverse reactions equally well. In my examples there seems to be no difference in co-substrates between the enzymes either. What's going on here? What are the authors trying to tell me?