[quote=Amethyst;7823]In relation to post #6 regarding abandonment of AOS if travel before advance parole is approved, is this true even if one travels on H1 or H4? [/quote]
Typically yes. If I-485 application is pending and if you travel outside the US without AP, USCIS will consider the application to be abandoned. H1 or H4 visa is an exception to the rule and you can use it to travel outside US.
Please see the FAQ in this post:
http://blog.mygcvisa.com/2013/07/fb-category-frequently-asked-questions.html