One of my brother also asked me whether H1 people can get benefit from TPS or not. At first, I told him it's good but after talking to lawyer he came up with some fascinating and alerting news. It's better for H1 to stick with H1 and apply for GC. If H1 gets TPS then it will raise a question when you apply for GC - Why you are not confident on H1 to process for GC which makes you to apply for TPS. Yes, TPS does not voids any non immigrant benefits AOS -GC if you are on active and valid status. But this is what my brother told me. Stick with current H1 and try to make a way to file for GC even though you have to work on less pay cheque comparison to current market pay.