I did a quick reality check with your map. As you know, there are a great number of features in that layer. I tested your map in a couple of Instant Apps and in Experience Builder with no issues. I also tested in a simple Web AppBuilder app that includes the select tool.
The performance in WAB is noticeably slower, and is likely due to the fact that Map Viewer, Instant Apps, and ExB are JS 4.x apps. WAB is not.
While I could not reproduce your issue, my suspicion is that it is caused by the large number of features you are trying to handle in the WAB app.
My suggestion would be to implement the app using one of the Instant Apps or Experience Builder. No matter which alternative you choose, using aggregate layers and/or scale dependencies would IMHO make for a better app experience.