H1B (counted in quota) Non profit to For profit Transfer

[MavNex56]

Hi, 

I got a job at company A (For-profit) after I graduated in May '15. They applied for a H1B Visa for me and it got picked in the lottery and I got he H1B through them. 
I got a job at Company B (Non-Profit) and I'm planning on switching to Company B.

Now, I have read about not being able to switch from a non-profit to a for-profit company on H1B. 
My question is, is it true for my case where my H1B is picked in lottery(in quota), even then I cannot switch from a non-profit Company B to a company C (for-profit) in the future if needed?

Do I have to wait for the April applications and be a part of the cap and lottery again if I have to join a for profit company in the future?

Just want to make sure this is not the case before I switch to company B. I really appreciate your help and thanks in advance.

Thank you

Regards,
M