Me again!
Just in case anyone else is following this thread, through discussions with Matt (above) and other professionals, here is what I have gathered:
Although getting a NEW mortgage (re-financing your home) at renewal time with a new mortgage company might be tricky if you are currently still paying a proposal, it is customary for your current mortgage company to auto-renew your mortgage as long as you have been making your payments on time.
Although my own mortgage company, GMAC, has been giving me a hard time and trying to levy service charges related to my proposal, they will likely still auto-renew when my mortggage comes due, as long as I have been paying as promised. I bet they are just trying to scare me so that I will accept a higher interest rate without complaining!
Regarding my previous question to Matt, it seems that mortgage lenders customarily need CMHC (or Genworth) mortgage insurance on mortgages above 80% of the house value. And CMHC, even more-so than the lenders themselves, has certain credit requirements for all new policies. If you are looking for a new mortgage or a re-finance with a new company, and the mortgage will be more than 80% of the house value, CMHC will be insuring the mortgage and will want you to be two years out of your proposal, with one year of re-established credit. They must do a credit check even if you are "transferring" your mortgage to a new lender.
Now, that's for a new mortgage or a transfer (re-finance). When an existing mortgage is auto-renewed, CMHC insures the renewed mortgage under its ongoing policy, and does not worry about checking credit reports. This is one of the reasons that your current mortgage company finds it so easy to auto-renew you, and why they know that if your credit is blemished but your payment history is good, you will remain their 'loyal' customer once they auto-renew you. They know that, for now, running to the competition would be difficult for you.
So, if you are currently in a mortgage situation, have made a proposal, and are making your regular mortgage payments, you can expect auto-renewal - but don't be surprised if they increase your interest rates!
If you have an unusual situation where you know you will be seeking a new lender at renewal time, try to make the extra payments or source the funds so that the re-financed mortgage will be under 80% of the house value, so you can avoid CMHC insurance and their credit requirements. This will allow more lenders to entertain your business.
AND - although I'm not affiliated with Matt (mwieler) in any way, I recommend him as a source of information, and of mortgages.

~Wendy