H-1B to EB-1A
H-1B is a temporary work status. EB-1A is a green-card category. Holding H-1B does not help or hurt the ten criteria. The work you did while on H-1B might.
The employer does not have to sponsor EB-1A
EB-1A does not require a job offer or a labor certification. You can self-petition. Your H-1B employer can still be the distinguished organization in a critical-role argument. That is about the work, not about who signs the I-140.
Whether you should stay on H-1B, change status, or travel while a petition is pending is a lawyer question. This site does not answer it.
What to evaluate instead
Ignore the visa stamp for a moment. Paste the resume. See which of the ten criteria are claims and which have exhibits. If the file is only the H-1B job description, it is early, whether or not the employer is famous.
Related: Self-petition, EB-1A vs PERM, Critical role.
This is not a law firm and does not file petitions. USCIS decides each case on its own record.