Quick answer: Watch for crashes or bugs on one platform but not another, problems clustering on a specific platform, and complaints you can't reproduce on your platform. Cross-platform problems are invisible from the platform that works but obvious in per-platform data.
Shipping to multiple platforms means each can behave differently, so a cross-platform problem hits one platform while others are fine. Here are the signs your game has a cross-platform problem.
Crashes or Bugs on One Platform but Not Another
The defining sign is crashes or bugs on one platform but not another, the game working on the platform you tested but crashing or glitching on another. If a problem happens on one platform (desktop, mobile, web, console) and not others, it's a cross-platform problem, specific to that platform's behavior.
Bugnet captures crashes with platform context, so platform-specific problems are identifiable. Crashes or bugs on one platform but not another are the defining sign of a cross-platform problem, and capturing crashes with platform context is what reveals it, the platform breakdown shows the problem clustering on one platform, which both confirms it's cross-platform and points at the cause (that platform's specific behavior).
Problems Clustering on a Specific Platform
A sign is problems clustering on a specific platform, crashes, performance issues, or bugs concentrated on one platform (e.g. all your crashes on the web build, or on mobile). If your problems concentrate on one platform while others are fine, you have a cross-platform problem specific to that platform.
Bugnet captures platform context with crashes, so clustering on a specific platform is visible. Problems clustering on a specific platform are a sign of a cross-platform problem, and the platform context reveals the clustering (which platform the problems concentrate on), pointing at the platform-specific cause, since platforms run your game differently, a problem on one platform points at how that platform differs.
Complaints You Can't Reproduce on Your Platform
A sign is complaints you can't reproduce on your platform, players on another platform reporting problems that don't happen on the platform you develop/test on. If players on a platform you don't primarily use report problems you can't reproduce, it's a cross-platform problem on a platform outside your test set.
Bugnet captures crashes with platform context from the field, so problems on platforms you don't test are identifiable. Complaints you can't reproduce on your platform are a sign of a cross-platform problem (on a platform you don't primarily test), and field capture with platform context is how you see and diagnose them, the captured platform and conditions reveal the problem on the platform you can't reproduce it on, so you can fix it.
Watch for crashes or bugs on one platform but not another, problems clustering on a specific platform, and complaints you can't reproduce on your platform. Cross-platform problems are invisible from the platform that works but obvious in per-platform data.