The statement is reasonably accurate. When we talk about the 'standard event study' in economics and financial literature (e.g. MacKinlay, 1997), which based on your text you are, they are not appropriate for analyzing single effects that affect whole market. There are several reasons for this:
A key assumption of event study is cross-sectional independence. A cross-sectional independence will be violated when in your sample multiple events happen at the same time. A textbook example would be stock listings occurring at the same day (See Brooks Introductory Econometrics for Finance). Such event clustering makes your estimates of test statistics and consequently $p$-values biased and as a result any inference from such event study will be most likely incorrect. If you are analyzing an impact of a single event you will have the most extreme case of event clustering as you are modeling the regulation as a separate event for every firm that happens exactly at the same period of time.
There are some solutions to event clustering. For example, you could solve it by not aggregating across the firms and just examining event impact on firm level do a summary analysis of all individual firm level studies. An alternative would be to create a portfolio of firms that experience the event at the same time and analyze the portfolio as a single firm (see again Brooks). However, in the first case the solution is not very elegant and it has its own problems that are beyond scope of this answer, but you could in principle do it. The second solution is not appropriate because in your case you would end up with a one big portfolio of all firms so you would end up with one aggregate observation.
Usually when you are interested in evaluating an effect of policy you do not want to just know if the policy had an effect on one day but if there are also effects that persist. For example, if you evaluate a policy like deworming pills in developed countries on student performance, you dont want to just know if there was one-off effect of this policy on student performance which lasted for few days or months, you would be interesting in knowing what was the effect long term. In such cases using event study is problematic as that would require you to use very long event window. However, this introduces another issues as event study is very sensitive to even small misspecifications if the event window is long (see Brooks again). This is why longer event studies use buy-and-hold abnormal returns (BHAR) instead of just cumulative abnormal returns (CAR) but if your event window is too long you will still have problems.
There are also further issues but the two I mentioned above are in my opinion the major ones when compared to DiD. Also yes there are other alternatives but I think that mentioning them all would be too broad. For example, you could model single event as a structural break or even as regime switch and analyze it that way. It will always depends on the specifics of the problem, for that it is always best to do very careful literature review on the topic and see how other people approach the problem and which issues they consider most important.
