FIS' official statement appears not to mention what will happen with regards to ordinary World Cup events, only World Championships and Olympics. It sounds from Drachëv's statement that the same is expected from IBU, whose own statement is that they are setting up a "Biathlon Integrity Unit" to put measures in place to enact the recommendations, and although not stated it seems potentially implied that this would then preside over assessing which athletes if any are to be allowed to compete. IBU recently introduced a significant tightening of the screws around nation-switching too, so without the scope for an ANA-style workaround, this really would be a kick in the teeth for a number of Russian athletes who had nothing to do with Sochi but are too old to change nation without the now-required two year gap in competition. We can at least use the Pyeongchang precedent as a pointer toward who may or may not pass the checks, but obviously in light of the more recent info this is by no means definitive and some who were approved then may not be now. Hopefully the SBR is a bit smarter than Konovalov was a couple of years ago (he only nominated his chosen A-team for checks, resulting in only 4 athletes, whereas Välbe nominated almost any international calibre XC skier with the aim of making a reasonable team out of the remainder).
I suspect they don't, literally speaking, but would withdraw their approval - and potentially with it the IOC's - from any major event not compliant with their code, which would obviously especially hit any Olympic sport, as it would place its Olympic presence in jeopardy.
Which is of course double jeopardy and double standards of such a flagrant extent that they could actually likely have a case for discrimination. In the current CQ Ranking top 150, you have Alejandro Valverde, Diego Ulissi, Giovanni Visconti, Simon Yates and Ilnur Zakarin. But only one of them is likely to be forbidden from competing in the Olympics because of their doping history, and it's the guy whose suspension is the furthest in the past, and that's because of where he was born. There's already a fairly alarming precedent from Pyeongchang in the case of Timofey Lapshin, who was not only named in the McLaren docs but tested positive in them, for a steroid of some kind in a Russian Cup race used as an international selection event ahead of Sochi. Timofey Lapshin competed in Pyeongchang while Daria Virolaynen and Irina Uslugina - neither of whom were mentioned in McLaren at all - were barred. Timofey Lapshin got a Korean passport in 2017 and ceased competing for Russia, so he was fine despite having demonstrably doped.
I mean, again, no use complaining about a witch hunt if you're actually a witch, but there's just so many issues raised by using such a sledgehammer method that I can't see this not running and running.