That's a very interesting idea to consider pulserifle187! The filmmakers have indeed talked about something along those lines in the past: the thought that the Aliens could possibly continue developing towards a more civilized form. The concept is different from the alternate ending where the Alien rips off Ripley's head and suddenly starts speaking in her voice. Instead, the alien advances to its final stage of maturity gradually, then perhaps lives a long "scholarly" life after reaching the final stage: possibly becoming an intelligent species (in some unused ideas that were looked at). So, it doesn't remove Ripley's head to acquire her intelligence or begin speaking english immediately: her IQ doesn't drop while away.
The lifecycle might be much more complicated than we know. There's already a bunch of stuff going on in Prometheus before the facehugger stage that helps explain the early development of the creature (but it doesn't link up with the classic Alien yet). It all depends on what Ridley and the others have decided to go with. The life cycle would be cyclical: the creators don't build in straight lines, so why should Ridley?
I think the full lifecylce we're dealing with includes a couple stages that we haven't seen yet, and imo what you suggest is definitely plausible. The only problem is that the Engineers and Aliens might then technically create themselves in an endless loop. But it's only a problem if you view it as such. The logo with the Alien eating its own tail could even symbolically represent its immortal and eternal nature...
Ridley once stated that he felt the Alien in the orginal movie was dying. I believe that the Marines were looking at it all wrong in ALIENS: that it's incorrect to compare part of the lifecycle to ants. There were ideas about the Alien lifecycle being somewhat similar to a parasitic Wasp/insect species when the first movie was developed, which may be where some of the coccoon ideas come from. Yet the creature's whole lifecycle may be harder to explain. Conceiving them to be similar to Ants never entered the picture until ALIENS. The early stages appear to be more similar to a parasitic wasp species that uses spores to turn Ants into mindless zombies (like Fifield) until baby wasps eventually burst from their heads...