It appears to me that Valonia and Ventricaria genus of bubble algae do spread readily by sexual reproduction. IMO avoiding popping them will not have much effect on wether they spread this way. The spores must happen to land at a site that is condusive to their growth. Ultimately, the best control for the spread of those two genus is making the tank less condusive to their growth.
Their are multiple genus of bubble algae and IME they don't share that much in common beside bubble-shaped vesicals. Some grow small in high current areas with high light, others grow large in low light and low current eddies where detritus accumulates. Some grow in tightly clustered colonies, others grow dispersed. When most people talk about bubble algae they probably mean Ventricaria or Valonia. Venticaria gets too tough and large for most grazers to handle, and can prosper in low light. The notion that an emerald crab or small tang can graze a large vesical of Ventricaria is like the notion that I can consume a rhino by walking up to one and trying to knaw a chunk out of it's living hide. On the other hand, some tender specie of Valonia may be controlled by a motivated crab or rabbitfish, IME. This is one reason you hear so much conflicting info on what "works" for "bubble" algae, IMO.
There is no magic bullet for all specie of bubble algae IME, and adding a big grazer to a tank with Ventricaria is likely to make the problem worse because the grazer pees poops and eats the competing algae.