It looks like both do standard individual covariate checks for post-match balance, with SMDs. I'm surprised they haven't assessed balance for at least pairwise interactions, too -- we should be balancing out joint risk factors too, no?

I haven't worked on these designs, but I remember the methodologist that taught me this in grad school giving us a lecture about this.

EDIT: the BMJ article (laudably) provides access to the analyis code, although I won't have time to review it:

github.com/nilskruger/Tirzepatide-and-the-Risk-of-Atherosclerotic-Cardiovascular-Events