Fix Network Profiler not disabling buttons

[aryan-11825114]

Fixes #96804

[Geometror]

Works as expected, code looks fine (although I have a planned to refactor some parts of the profiler code soon, so it's not that important)
Most likely it was just an oversight from 3.x where this was the behavior of all profilers, but maybe it had a specific reason to be startable before running a scene/the project, so @Faless should give this a look too.

[Faless]

Most likely it was just an oversight from 3.x where this was the behavior of all profilers, but maybe it had a specific reason to be startable before running a scene/the project, so @Faless should give this a look too.

Before we had the autostart button (#96759) this was the only way to catch all the traffic, including the one at startup.

Now that we have autostart, we don't need to be able to start it manually while disconnected.

[Faless]

LGTM

[akien-mga]

Thanks!